Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 55.1 | ||
Root | \(0.959493 - 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.55 |
Dual form | 138.2.e.b.133.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 0.654861 | + | 0.755750i | 0.378084 | + | 0.436332i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.544078 | − | 3.78415i | −0.243319 | − | 1.69232i | −0.635234 | − | 0.772320i | \(-0.719096\pi\) |
0.391915 | − | 0.920001i | \(-0.371813\pi\) | |||||||
\(6\) | −0.841254 | − | 0.540641i | −0.343440 | − | 0.220716i | ||||
\(7\) | 1.20217 | − | 2.63238i | 0.454376 | − | 0.994946i | −0.534357 | − | 0.845259i | \(-0.679446\pi\) |
0.988733 | − | 0.149687i | \(-0.0478265\pi\) | |||||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 1.58816 | + | 3.47758i | 0.502219 | + | 1.09971i | ||||
\(11\) | 1.51662 | + | 0.445319i | 0.457278 | + | 0.134269i | 0.502256 | − | 0.864719i | \(-0.332504\pi\) |
−0.0449780 | + | 0.998988i | \(0.514322\pi\) | |||||||
\(12\) | 0.959493 | + | 0.281733i | 0.276982 | + | 0.0813292i | ||||
\(13\) | 1.95653 | + | 4.28419i | 0.542643 | + | 1.18822i | 0.960134 | + | 0.279541i | \(0.0901822\pi\) |
−0.417491 | + | 0.908681i | \(0.637091\pi\) | |||||||
\(14\) | −0.411844 | + | 2.86444i | −0.110070 | + | 0.765553i | ||||
\(15\) | 2.50357 | − | 2.88927i | 0.646419 | − | 0.746008i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −3.98569 | − | 2.56145i | −0.966672 | − | 0.621242i | −0.0408352 | − | 0.999166i | \(-0.513002\pi\) |
−0.925837 | + | 0.377924i | \(0.876638\pi\) | |||||||
\(18\) | −0.142315 | − | 0.989821i | −0.0335439 | − | 0.233303i | ||||
\(19\) | 1.80728 | − | 1.16147i | 0.414619 | − | 0.266460i | −0.316658 | − | 0.948540i | \(-0.602561\pi\) |
0.731278 | + | 0.682080i | \(0.238924\pi\) | |||||||
\(20\) | −2.50357 | − | 2.88927i | −0.559815 | − | 0.646062i | ||||
\(21\) | 2.77667 | − | 0.815304i | 0.605919 | − | 0.177914i | ||||
\(22\) | −1.58065 | −0.336995 | ||||||||
\(23\) | 2.88909 | + | 3.82794i | 0.602417 | + | 0.798182i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −9.22627 | + | 2.70908i | −1.84525 | + | 0.541815i | ||||
\(26\) | −3.08427 | − | 3.55944i | −0.604875 | − | 0.698063i | ||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | −0.411844 | − | 2.86444i | −0.0778312 | − | 0.541328i | ||||
\(29\) | −0.495008 | − | 0.318122i | −0.0919207 | − | 0.0590739i | 0.493873 | − | 0.869534i | \(-0.335581\pi\) |
−0.585794 | + | 0.810460i | \(0.699217\pi\) | |||||||
\(30\) | −1.58816 | + | 3.47758i | −0.289956 | + | 0.634916i | ||||
\(31\) | −0.111819 | + | 0.129046i | −0.0200833 | + | 0.0231774i | −0.765702 | − | 0.643195i | \(-0.777608\pi\) |
0.745619 | + | 0.666372i | \(0.232154\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 0.656624 | + | 1.43781i | 0.114304 | + | 0.250290i | ||||
\(34\) | 4.54589 | + | 1.33479i | 0.779613 | + | 0.228915i | ||||
\(35\) | −10.6154 | − | 3.11696i | −1.79433 | − | 0.526862i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | −0.685789 | + | 4.76977i | −0.112743 | + | 0.784145i | 0.852488 | + | 0.522747i | \(0.175093\pi\) |
−0.965231 | + | 0.261398i | \(0.915816\pi\) | |||||||
\(38\) | −1.40685 | + | 1.62359i | −0.228222 | + | 0.263382i | ||||
\(39\) | −1.95653 | + | 4.28419i | −0.313295 | + | 0.686020i | ||||
\(40\) | 3.21616 | + | 2.06690i | 0.508520 | + | 0.326806i | ||||
\(41\) | 1.47968 | + | 10.2914i | 0.231088 | + | 1.60725i | 0.693414 | + | 0.720540i | \(0.256106\pi\) |
−0.462326 | + | 0.886710i | \(0.652985\pi\) | |||||||
\(42\) | −2.43450 | + | 1.56456i | −0.375651 | + | 0.241416i | ||||
\(43\) | −8.03389 | − | 9.27160i | −1.22516 | − | 1.41391i | −0.879739 | − | 0.475456i | \(-0.842283\pi\) |
−0.345417 | − | 0.938449i | \(-0.612262\pi\) | |||||||
\(44\) | 1.51662 | − | 0.445319i | 0.228639 | − | 0.0671344i | ||||
\(45\) | 3.82306 | 0.569908 | ||||||||
\(46\) | −3.85052 | − | 2.85894i | −0.567728 | − | 0.421527i | ||||
\(47\) | 5.45520 | 0.795723 | 0.397862 | − | 0.917445i | \(-0.369752\pi\) | ||||
0.397862 | + | 0.917445i | \(0.369752\pi\) | |||||||
\(48\) | 0.959493 | − | 0.281733i | 0.138491 | − | 0.0406646i | ||||
\(49\) | −0.900187 | − | 1.03887i | −0.128598 | − | 0.148410i | ||||
\(50\) | 8.08931 | − | 5.19868i | 1.14400 | − | 0.735205i | ||||
\(51\) | −0.674259 | − | 4.68958i | −0.0944152 | − | 0.656672i | ||||
\(52\) | 3.96215 | + | 2.54632i | 0.549451 | + | 0.353110i | ||||
\(53\) | −4.28201 | + | 9.37628i | −0.588179 | + | 1.28793i | 0.348358 | + | 0.937362i | \(0.386739\pi\) |
−0.936537 | + | 0.350570i | \(0.885988\pi\) | |||||||
\(54\) | 0.654861 | − | 0.755750i | 0.0891153 | − | 0.102844i | ||||
\(55\) | 0.859995 | − | 5.98139i | 0.115962 | − | 0.806531i | ||||
\(56\) | 1.20217 | + | 2.63238i | 0.160646 | + | 0.351766i | ||||
\(57\) | 2.06130 | + | 0.605253i | 0.273026 | + | 0.0801677i | ||||
\(58\) | 0.564582 | + | 0.165776i | 0.0741333 | + | 0.0217675i | ||||
\(59\) | −0.790420 | − | 1.73078i | −0.102904 | − | 0.225328i | 0.851176 | − | 0.524881i | \(-0.175890\pi\) |
−0.954080 | + | 0.299552i | \(0.903163\pi\) | |||||||
\(60\) | 0.544078 | − | 3.78415i | 0.0702402 | − | 0.488531i | ||||
\(61\) | 8.28691 | − | 9.56361i | 1.06103 | − | 1.22449i | 0.0874457 | − | 0.996169i | \(-0.472130\pi\) |
0.973585 | − | 0.228325i | \(-0.0733250\pi\) | |||||||
\(62\) | 0.0709331 | − | 0.155322i | 0.00900851 | − | 0.0197259i | ||||
\(63\) | 2.43450 | + | 1.56456i | 0.306718 | + | 0.197116i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 15.1475 | − | 9.73472i | 1.87882 | − | 1.20744i | ||||
\(66\) | −1.03510 | − | 1.19457i | −0.127412 | − | 0.147042i | ||||
\(67\) | −5.63806 | + | 1.65548i | −0.688799 | + | 0.202250i | −0.607358 | − | 0.794429i | \(-0.707770\pi\) |
−0.0814412 | + | 0.996678i | \(0.525952\pi\) | |||||||
\(68\) | −4.73780 | −0.574543 | ||||||||
\(69\) | −1.00102 | + | 4.69020i | −0.120508 | + | 0.564634i | ||||
\(70\) | 11.0635 | 1.32234 | ||||||||
\(71\) | 11.3427 | − | 3.33053i | 1.34614 | − | 0.395261i | 0.472281 | − | 0.881448i | \(-0.343431\pi\) |
0.873855 | + | 0.486187i | \(0.161612\pi\) | |||||||
\(72\) | −0.654861 | − | 0.755750i | −0.0771761 | − | 0.0890659i | ||||
\(73\) | −11.1159 | + | 7.14378i | −1.30102 | + | 0.836116i | −0.993323 | − | 0.115368i | \(-0.963195\pi\) |
−0.307699 | + | 0.951484i | \(0.599559\pi\) | |||||||
\(74\) | −0.685789 | − | 4.76977i | −0.0797213 | − | 0.554474i | ||||
\(75\) | −8.08931 | − | 5.19868i | −0.934073 | − | 0.600292i | ||||
\(76\) | 0.892446 | − | 1.95418i | 0.102371 | − | 0.224160i | ||||
\(77\) | 2.99548 | − | 3.45697i | 0.341366 | − | 0.393958i | ||||
\(78\) | 0.670276 | − | 4.66187i | 0.0758938 | − | 0.527853i | ||||
\(79\) | 4.85393 | + | 10.6286i | 0.546110 | + | 1.19581i | 0.958575 | + | 0.284841i | \(0.0919408\pi\) |
−0.412465 | + | 0.910974i | \(0.635332\pi\) | |||||||
\(80\) | −3.66820 | − | 1.07708i | −0.410117 | − | 0.120421i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | −4.31917 | − | 9.45767i | −0.476973 | − | 1.04442i | ||||
\(83\) | 0.0161168 | − | 0.112095i | 0.00176905 | − | 0.0123040i | −0.988918 | − | 0.148464i | \(-0.952567\pi\) |
0.990687 | + | 0.136160i | \(0.0434761\pi\) | |||||||
\(84\) | 1.89510 | − | 2.18706i | 0.206772 | − | 0.238628i | ||||
\(85\) | −7.52436 | + | 16.4761i | −0.816132 | + | 1.78708i | ||||
\(86\) | 10.3206 | + | 6.63263i | 1.11290 | + | 0.715214i | ||||
\(87\) | −0.0837405 | − | 0.582428i | −0.00897793 | − | 0.0624429i | ||||
\(88\) | −1.32972 | + | 0.854562i | −0.141749 | + | 0.0910966i | ||||
\(89\) | 8.01460 | + | 9.24934i | 0.849546 | + | 0.980428i | 0.999966 | − | 0.00819403i | \(-0.00260827\pi\) |
−0.150421 | + | 0.988622i | \(0.548063\pi\) | |||||||
\(90\) | −3.66820 | + | 1.07708i | −0.386662 | + | 0.113534i | ||||
\(91\) | 13.6297 | 1.42878 | ||||||||
\(92\) | 4.50000 | + | 1.65831i | 0.469157 | + | 0.172891i | ||||
\(93\) | −0.170752 | −0.0177062 | ||||||||
\(94\) | −5.23423 | + | 1.53691i | −0.539869 | + | 0.158520i | ||||
\(95\) | −5.37848 | − | 6.20710i | −0.551820 | − | 0.636835i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | −0.124317 | − | 0.864646i | −0.0126225 | − | 0.0877915i | 0.982536 | − | 0.186071i | \(-0.0595753\pi\) |
−0.995159 | + | 0.0982791i | \(0.968666\pi\) | |||||||
\(98\) | 1.15641 | + | 0.743178i | 0.116815 | + | 0.0750723i | ||||
\(99\) | −0.656624 | + | 1.43781i | −0.0659932 | + | 0.144505i | ||||
\(100\) | −6.29699 | + | 7.26712i | −0.629699 | + | 0.726712i | ||||
\(101\) | 1.55270 | − | 10.7992i | 0.154499 | − | 1.07456i | −0.754060 | − | 0.656806i | \(-0.771907\pi\) |
0.908558 | − | 0.417758i | \(-0.137184\pi\) | |||||||
\(102\) | 1.96815 | + | 4.30965i | 0.194876 | + | 0.426719i | ||||
\(103\) | −3.54321 | − | 1.04038i | −0.349123 | − | 0.102512i | 0.102469 | − | 0.994736i | \(-0.467326\pi\) |
−0.451592 | + | 0.892224i | \(0.649144\pi\) | |||||||
\(104\) | −4.51903 | − | 1.32691i | −0.443127 | − | 0.130114i | ||||
\(105\) | −4.59596 | − | 10.0637i | −0.448519 | − | 0.982120i | ||||
\(106\) | 1.46695 | − | 10.2029i | 0.142483 | − | 0.990989i | ||||
\(107\) | −7.05053 | + | 8.13674i | −0.681600 | + | 0.786608i | −0.986144 | − | 0.165890i | \(-0.946950\pi\) |
0.304544 | + | 0.952498i | \(0.401496\pi\) | |||||||
\(108\) | −0.415415 | + | 0.909632i | −0.0399733 | + | 0.0875294i | ||||
\(109\) | −6.99382 | − | 4.49466i | −0.669887 | − | 0.430510i | 0.160998 | − | 0.986955i | \(-0.448529\pi\) |
−0.830885 | + | 0.556445i | \(0.812165\pi\) | |||||||
\(110\) | 0.859995 | + | 5.98139i | 0.0819973 | + | 0.570304i | ||||
\(111\) | −4.05384 | + | 2.60525i | −0.384774 | + | 0.247279i | ||||
\(112\) | −1.89510 | − | 2.18706i | −0.179070 | − | 0.206658i | ||||
\(113\) | −7.20846 | + | 2.11660i | −0.678115 | + | 0.199113i | −0.602614 | − | 0.798033i | \(-0.705874\pi\) |
−0.0755016 | + | 0.997146i | \(0.524056\pi\) | |||||||
\(114\) | −2.14832 | −0.201209 | ||||||||
\(115\) | 12.9136 | − | 13.0154i | 1.20420 | − | 1.21370i | ||||
\(116\) | −0.588417 | −0.0546332 | ||||||||
\(117\) | −4.51903 | + | 1.32691i | −0.417785 | + | 0.122673i | ||||
\(118\) | 1.24602 | + | 1.43798i | 0.114705 | + | 0.132377i | ||||
\(119\) | −11.5342 | + | 7.41256i | −1.05734 | + | 0.679508i | ||||
\(120\) | 0.544078 | + | 3.78415i | 0.0496673 | + | 0.345444i | ||||
\(121\) | −7.15197 | − | 4.59629i | −0.650179 | − | 0.417844i | ||||
\(122\) | −5.25686 | + | 11.5109i | −0.475933 | + | 1.04215i | ||||
\(123\) | −6.80875 | + | 7.85772i | −0.613924 | + | 0.708506i | ||||
\(124\) | −0.0243006 | + | 0.169014i | −0.00218226 | + | 0.0151779i | ||||
\(125\) | 7.33057 | + | 16.0517i | 0.655666 | + | 1.43571i | ||||
\(126\) | −2.77667 | − | 0.815304i | −0.247366 | − | 0.0726331i | ||||
\(127\) | 7.28023 | + | 2.13767i | 0.646016 | + | 0.189687i | 0.588296 | − | 0.808645i | \(-0.299799\pi\) |
0.0577198 | + | 0.998333i | \(0.481617\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 1.74593 | − | 12.1432i | 0.153721 | − | 1.06915i | ||||
\(130\) | −11.7913 | + | 13.6079i | −1.03417 | + | 1.19350i | ||||
\(131\) | 7.39794 | − | 16.1992i | 0.646361 | − | 1.41533i | −0.248343 | − | 0.968672i | \(-0.579886\pi\) |
0.894704 | − | 0.446660i | \(-0.147387\pi\) | |||||||
\(132\) | 1.32972 | + | 0.854562i | 0.115738 | + | 0.0743801i | ||||
\(133\) | −0.884774 | − | 6.15374i | −0.0767196 | − | 0.533597i | ||||
\(134\) | 4.94328 | − | 3.17685i | 0.427034 | − | 0.274438i | ||||
\(135\) | 2.50357 | + | 2.88927i | 0.215473 | + | 0.248669i | ||||
\(136\) | 4.54589 | − | 1.33479i | 0.389806 | − | 0.114458i | ||||
\(137\) | −0.762968 | −0.0651847 | −0.0325924 | − | 0.999469i | \(-0.510376\pi\) | ||||
−0.0325924 | + | 0.999469i | \(0.510376\pi\) | |||||||
\(138\) | −0.360914 | − | 4.78223i | −0.0307230 | − | 0.407091i | ||||
\(139\) | 9.22612 | 0.782549 | 0.391275 | − | 0.920274i | \(-0.372034\pi\) | ||||
0.391275 | + | 0.920274i | \(0.372034\pi\) | |||||||
\(140\) | −10.6154 | + | 3.11696i | −0.897163 | + | 0.263431i | ||||
\(141\) | 3.57240 | + | 4.12277i | 0.300850 | + | 0.347200i | ||||
\(142\) | −9.94497 | + | 6.39124i | −0.834563 | + | 0.536341i | ||||
\(143\) | 1.05947 | + | 7.36877i | 0.0885973 | + | 0.616207i | ||||
\(144\) | 0.841254 | + | 0.540641i | 0.0701045 | + | 0.0450534i | ||||
\(145\) | −0.934499 | + | 2.04627i | −0.0776059 | + | 0.169933i | ||||
\(146\) | 8.65303 | − | 9.98613i | 0.716130 | − | 0.826458i | ||||
\(147\) | 0.195629 | − | 1.36063i | 0.0161352 | − | 0.112223i | ||||
\(148\) | 2.00181 | + | 4.38335i | 0.164548 | + | 0.360309i | ||||
\(149\) | −17.7421 | − | 5.20954i | −1.45349 | − | 0.426782i | −0.542794 | − | 0.839866i | \(-0.682633\pi\) |
−0.910693 | + | 0.413084i | \(0.864452\pi\) | |||||||
\(150\) | 9.22627 | + | 2.70908i | 0.753322 | + | 0.221195i | ||||
\(151\) | −0.412045 | − | 0.902252i | −0.0335317 | − | 0.0734243i | 0.892125 | − | 0.451789i | \(-0.149214\pi\) |
−0.925657 | + | 0.378364i | \(0.876487\pi\) | |||||||
\(152\) | −0.305738 | + | 2.12646i | −0.0247986 | + | 0.172478i | ||||
\(153\) | 3.10260 | − | 3.58059i | 0.250830 | − | 0.289474i | ||||
\(154\) | −1.90020 | + | 4.16086i | −0.153123 | + | 0.335292i | ||||
\(155\) | 0.549167 | + | 0.352928i | 0.0441102 | + | 0.0283479i | ||||
\(156\) | 0.670276 | + | 4.66187i | 0.0536650 | + | 0.373248i | ||||
\(157\) | 6.82233 | − | 4.38445i | 0.544481 | − | 0.349917i | −0.239308 | − | 0.970944i | \(-0.576921\pi\) |
0.783789 | + | 0.621027i | \(0.213284\pi\) | |||||||
\(158\) | −7.65175 | − | 8.83059i | −0.608740 | − | 0.702524i | ||||
\(159\) | −9.89024 | + | 2.90404i | −0.784347 | + | 0.230305i | ||||
\(160\) | 3.82306 | 0.302239 | ||||||||
\(161\) | 13.5498 | − | 3.00335i | 1.06787 | − | 0.236697i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 22.1412 | − | 6.50124i | 1.73423 | − | 0.509217i | 0.746502 | − | 0.665383i | \(-0.231732\pi\) |
0.987731 | + | 0.156166i | \(0.0499135\pi\) | |||||||
\(164\) | 6.80875 | + | 7.85772i | 0.531674 | + | 0.613585i | ||||
\(165\) | 5.08361 | − | 3.26704i | 0.395759 | − | 0.254339i | ||||
\(166\) | 0.0161168 | + | 0.112095i | 0.00125091 | + | 0.00870026i | ||||
\(167\) | −4.44588 | − | 2.85719i | −0.344032 | − | 0.221096i | 0.357202 | − | 0.934027i | \(-0.383731\pi\) |
−0.701234 | + | 0.712931i | \(0.747367\pi\) | |||||||
\(168\) | −1.20217 | + | 2.63238i | −0.0927492 | + | 0.203092i | ||||
\(169\) | −6.01314 | + | 6.93953i | −0.462549 | + | 0.533810i | ||||
\(170\) | 2.57773 | − | 17.9285i | 0.197703 | − | 1.37505i | ||||
\(171\) | 0.892446 | + | 1.95418i | 0.0682470 | + | 0.149440i | ||||
\(172\) | −11.7711 | − | 3.45632i | −0.897541 | − | 0.263542i | ||||
\(173\) | −13.8077 | − | 4.05430i | −1.04978 | − | 0.308243i | −0.289051 | − | 0.957314i | \(-0.593340\pi\) |
−0.760728 | + | 0.649071i | \(0.775158\pi\) | |||||||
\(174\) | 0.244437 | + | 0.535243i | 0.0185308 | + | 0.0405767i | ||||
\(175\) | −3.96020 | + | 27.5438i | −0.299363 | + | 2.08212i | ||||
\(176\) | 1.03510 | − | 1.19457i | 0.0780238 | − | 0.0900443i | ||||
\(177\) | 0.790420 | − | 1.73078i | 0.0594116 | − | 0.130093i | ||||
\(178\) | −10.2958 | − | 6.61670i | −0.771702 | − | 0.495943i | ||||
\(179\) | −1.59394 | − | 11.0861i | −0.119136 | − | 0.828612i | −0.958510 | − | 0.285057i | \(-0.907987\pi\) |
0.839374 | − | 0.543554i | \(-0.182922\pi\) | |||||||
\(180\) | 3.21616 | − | 2.06690i | 0.239719 | − | 0.154058i | ||||
\(181\) | −5.75929 | − | 6.64657i | −0.428084 | − | 0.494036i | 0.500198 | − | 0.865911i | \(-0.333260\pi\) |
−0.928283 | + | 0.371875i | \(0.878715\pi\) | |||||||
\(182\) | −13.0776 | + | 3.83993i | −0.969376 | + | 0.284634i | ||||
\(183\) | 12.6545 | 0.935445 | ||||||||
\(184\) | −4.78492 | − | 0.323343i | −0.352749 | − | 0.0238371i | ||||
\(185\) | 18.4226 | 1.35446 | ||||||||
\(186\) | 0.163836 | − | 0.0481065i | 0.0120130 | − | 0.00352734i | ||||
\(187\) | −4.90411 | − | 5.65965i | −0.358624 | − | 0.413874i | ||||
\(188\) | 4.58921 | − | 2.94931i | 0.334702 | − | 0.215100i | ||||
\(189\) | 0.411844 | + | 2.86444i | 0.0299572 | + | 0.208357i | ||||
\(190\) | 6.90935 | + | 4.44037i | 0.501257 | + | 0.322138i | ||||
\(191\) | −2.63041 | + | 5.75979i | −0.190330 | + | 0.416764i | −0.980607 | − | 0.195986i | \(-0.937209\pi\) |
0.790277 | + | 0.612750i | \(0.209937\pi\) | |||||||
\(192\) | 0.654861 | − | 0.755750i | 0.0472605 | − | 0.0545415i | ||||
\(193\) | 0.437455 | − | 3.04256i | 0.0314887 | − | 0.219009i | −0.968001 | − | 0.250946i | \(-0.919258\pi\) |
0.999490 | + | 0.0319370i | \(0.0101676\pi\) | |||||||
\(194\) | 0.362880 | + | 0.794597i | 0.0260533 | + | 0.0570488i | ||||
\(195\) | 17.2765 | + | 5.07284i | 1.23720 | + | 0.363274i | ||||
\(196\) | −1.31894 | − | 0.387276i | −0.0942101 | − | 0.0276626i | ||||
\(197\) | −0.400217 | − | 0.876353i | −0.0285143 | − | 0.0624376i | 0.894839 | − | 0.446389i | \(-0.147290\pi\) |
−0.923353 | + | 0.383951i | \(0.874563\pi\) | |||||||
\(198\) | 0.224949 | − | 1.56456i | 0.0159865 | − | 0.111188i | ||||
\(199\) | −2.14354 | + | 2.47378i | −0.151952 | + | 0.175362i | −0.826622 | − | 0.562758i | \(-0.809740\pi\) |
0.674670 | + | 0.738119i | \(0.264286\pi\) | |||||||
\(200\) | 3.99454 | − | 8.74682i | 0.282456 | − | 0.618493i | ||||
\(201\) | −4.94328 | − | 3.17685i | −0.348672 | − | 0.224078i | ||||
\(202\) | 1.55270 | + | 10.7992i | 0.109247 | + | 0.759831i | ||||
\(203\) | −1.43250 | + | 0.920613i | −0.100542 | + | 0.0646144i | ||||
\(204\) | −3.10260 | − | 3.58059i | −0.217225 | − | 0.250691i | ||||
\(205\) | 38.1392 | − | 11.1987i | 2.66375 | − | 0.782149i | ||||
\(206\) | 3.69279 | 0.257289 | ||||||||
\(207\) | −4.20014 | + | 2.31491i | −0.291930 | + | 0.160897i | ||||
\(208\) | 4.70981 | 0.326567 | ||||||||
\(209\) | 3.25819 | − | 0.956690i | 0.225373 | − | 0.0661756i | ||||
\(210\) | 7.24507 | + | 8.36126i | 0.499957 | + | 0.576981i | ||||
\(211\) | −20.5413 | + | 13.2011i | −1.41412 | + | 0.908798i | −0.999999 | − | 0.00142429i | \(-0.999547\pi\) |
−0.414119 | + | 0.910223i | \(0.635910\pi\) | |||||||
\(212\) | 1.46695 | + | 10.2029i | 0.100751 | + | 0.700735i | ||||
\(213\) | 9.94497 | + | 6.39124i | 0.681418 | + | 0.437921i | ||||
\(214\) | 4.47255 | − | 9.79351i | 0.305737 | − | 0.669470i | ||||
\(215\) | −30.7140 | + | 35.4459i | −2.09468 | + | 2.41739i | ||||
\(216\) | 0.142315 | − | 0.989821i | 0.00968330 | − | 0.0673488i | ||||
\(217\) | 0.205273 | + | 0.449485i | 0.0139348 | + | 0.0305130i | ||||
\(218\) | 7.97681 | + | 2.34220i | 0.540258 | + | 0.158634i | ||||
\(219\) | −12.6783 | − | 3.72268i | −0.856720 | − | 0.251556i | ||||
\(220\) | −2.51031 | − | 5.49682i | −0.169245 | − | 0.370595i | ||||
\(221\) | 3.17563 | − | 22.0870i | 0.213616 | − | 1.48573i | ||||
\(222\) | 3.15565 | − | 3.64182i | 0.211793 | − | 0.244423i | ||||
\(223\) | 6.31394 | − | 13.8256i | 0.422813 | − | 0.925831i | −0.571626 | − | 0.820514i | \(-0.693687\pi\) |
0.994439 | − | 0.105316i | \(-0.0335856\pi\) | |||||||
\(224\) | 2.43450 | + | 1.56456i | 0.162662 | + | 0.104536i | ||||
\(225\) | −1.36847 | − | 9.51790i | −0.0912312 | − | 0.634527i | ||||
\(226\) | 6.32016 | − | 4.06172i | 0.420411 | − | 0.270181i | ||||
\(227\) | −8.46896 | − | 9.77370i | −0.562105 | − | 0.648703i | 0.401555 | − | 0.915835i | \(-0.368470\pi\) |
−0.963660 | + | 0.267131i | \(0.913924\pi\) | |||||||
\(228\) | 2.06130 | − | 0.605253i | 0.136513 | − | 0.0400838i | ||||
\(229\) | −0.948502 | −0.0626788 | −0.0313394 | − | 0.999509i | \(-0.509977\pi\) | ||||
−0.0313394 | + | 0.999509i | \(0.509977\pi\) | |||||||
\(230\) | −8.72365 | + | 16.1264i | −0.575220 | + | 1.06334i | ||||
\(231\) | 4.57422 | 0.300962 | ||||||||
\(232\) | 0.564582 | − | 0.165776i | 0.0370667 | − | 0.0108838i | ||||
\(233\) | −9.13414 | − | 10.5414i | −0.598397 | − | 0.690587i | 0.373058 | − | 0.927808i | \(-0.378309\pi\) |
−0.971456 | + | 0.237220i | \(0.923764\pi\) | |||||||
\(234\) | 3.96215 | − | 2.54632i | 0.259014 | − | 0.166458i | ||||
\(235\) | −2.96806 | − | 20.6433i | −0.193615 | − | 1.34662i | ||||
\(236\) | −1.60067 | − | 1.02869i | −0.104195 | − | 0.0669621i | ||||
\(237\) | −4.85393 | + | 10.6286i | −0.315297 | + | 0.690404i | ||||
\(238\) | 8.97859 | − | 10.3618i | 0.581996 | − | 0.671659i | ||||
\(239\) | 0.347717 | − | 2.41842i | 0.0224919 | − | 0.156435i | −0.975480 | − | 0.220087i | \(-0.929366\pi\) |
0.997972 | + | 0.0636524i | \(0.0202749\pi\) | |||||||
\(240\) | −1.58816 | − | 3.47758i | −0.102515 | − | 0.224477i | ||||
\(241\) | −10.4235 | − | 3.06062i | −0.671438 | − | 0.197152i | −0.0717947 | − | 0.997419i | \(-0.522873\pi\) |
−0.599643 | + | 0.800267i | \(0.704691\pi\) | |||||||
\(242\) | 8.15719 | + | 2.39517i | 0.524364 | + | 0.153967i | ||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 1.80092 | − | 12.5257i | 0.115292 | − | 0.801873i | ||||
\(245\) | −3.44147 | + | 3.97166i | −0.219867 | + | 0.253740i | ||||
\(246\) | 4.31917 | − | 9.45767i | 0.275380 | − | 0.602999i | ||||
\(247\) | 8.51197 | + | 5.47031i | 0.541603 | + | 0.348067i | ||||
\(248\) | −0.0243006 | − | 0.169014i | −0.00154309 | − | 0.0107324i | ||||
\(249\) | 0.0952700 | − | 0.0612263i | 0.00603749 | − | 0.00388006i | ||||
\(250\) | −11.5559 | − | 13.3362i | −0.730861 | − | 0.843458i | ||||
\(251\) | 13.7410 | − | 4.03472i | 0.867324 | − | 0.254669i | 0.182347 | − | 0.983234i | \(-0.441630\pi\) |
0.684977 | + | 0.728565i | \(0.259812\pi\) | |||||||
\(252\) | 2.89389 | 0.182298 | ||||||||
\(253\) | 2.67699 | + | 7.09210i | 0.168301 | + | 0.445877i | ||||
\(254\) | −7.58758 | −0.476087 | ||||||||
\(255\) | −17.3792 | + | 5.10299i | −1.08833 | + | 0.319562i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −3.57053 | + | 2.29464i | −0.222724 | + | 0.143136i | −0.647245 | − | 0.762282i | \(-0.724079\pi\) |
0.424521 | + | 0.905418i | \(0.360442\pi\) | |||||||
\(258\) | 1.74593 | + | 12.1432i | 0.108697 | + | 0.756003i | ||||
\(259\) | 11.7314 | + | 7.53931i | 0.728953 | + | 0.468470i | ||||
\(260\) | 7.47991 | − | 16.3787i | 0.463885 | − | 1.01577i | ||||
\(261\) | 0.385331 | − | 0.444696i | 0.0238514 | − | 0.0275260i | ||||
\(262\) | −2.53442 | + | 17.6273i | −0.156577 | + | 1.08902i | ||||
\(263\) | −2.95101 | − | 6.46180i | −0.181967 | − | 0.398452i | 0.796563 | − | 0.604555i | \(-0.206649\pi\) |
−0.978530 | + | 0.206103i | \(0.933922\pi\) | |||||||
\(264\) | −1.51662 | − | 0.445319i | −0.0933414 | − | 0.0274075i | ||||
\(265\) | 37.8110 | + | 11.1023i | 2.32271 | + | 0.682009i | ||||
\(266\) | 2.58264 | + | 5.65520i | 0.158352 | + | 0.346743i | ||||
\(267\) | −1.74174 | + | 12.1141i | −0.106593 | + | 0.741368i | ||||
\(268\) | −3.84802 | + | 4.44085i | −0.235055 | + | 0.271268i | ||||
\(269\) | −3.21213 | + | 7.03359i | −0.195847 | + | 0.428846i | −0.981922 | − | 0.189286i | \(-0.939383\pi\) |
0.786075 | + | 0.618131i | \(0.212110\pi\) | |||||||
\(270\) | −3.21616 | − | 2.06690i | −0.195729 | − | 0.125788i | ||||
\(271\) | 0.723042 | + | 5.02887i | 0.0439217 | + | 0.305482i | 0.999926 | + | 0.0121307i | \(0.00386142\pi\) |
−0.956005 | + | 0.293351i | \(0.905229\pi\) | |||||||
\(272\) | −3.98569 | + | 2.56145i | −0.241668 | + | 0.155311i | ||||
\(273\) | 8.92555 | + | 10.3006i | 0.540199 | + | 0.623423i | ||||
\(274\) | 0.732062 | − | 0.214953i | 0.0442255 | − | 0.0129858i | ||||
\(275\) | −15.1991 | −0.916543 | ||||||||
\(276\) | 1.69360 | + | 4.48684i | 0.101943 | + | 0.270076i | ||||
\(277\) | −15.3909 | −0.924751 | −0.462376 | − | 0.886684i | \(-0.653003\pi\) | ||||
−0.462376 | + | 0.886684i | \(0.653003\pi\) | |||||||
\(278\) | −8.85240 | + | 2.59930i | −0.530932 | + | 0.155896i | ||||
\(279\) | −0.111819 | − | 0.129046i | −0.00669443 | − | 0.00772578i | ||||
\(280\) | 9.30723 | − | 5.98139i | 0.556213 | − | 0.357457i | ||||
\(281\) | 0.469579 | + | 3.26599i | 0.0280127 | + | 0.194833i | 0.999022 | − | 0.0442076i | \(-0.0140763\pi\) |
−0.971010 | + | 0.239040i | \(0.923167\pi\) | |||||||
\(282\) | −4.58921 | − | 2.94931i | −0.273283 | − | 0.175629i | ||||
\(283\) | −10.7520 | + | 23.5436i | −0.639141 | + | 1.39952i | 0.261603 | + | 0.965175i | \(0.415749\pi\) |
−0.900745 | + | 0.434349i | \(0.856979\pi\) | |||||||
\(284\) | 7.74150 | − | 8.93417i | 0.459374 | − | 0.530146i | ||||
\(285\) | 1.16886 | − | 8.12957i | 0.0692370 | − | 0.481554i | ||||
\(286\) | −3.09258 | − | 6.77180i | −0.182868 | − | 0.400425i | ||||
\(287\) | 28.8697 | + | 8.47692i | 1.70413 | + | 0.500377i | ||||
\(288\) | −0.959493 | − | 0.281733i | −0.0565387 | − | 0.0166013i | ||||
\(289\) | 2.26266 | + | 4.95453i | 0.133098 | + | 0.291443i | ||||
\(290\) | 0.320145 | − | 2.22666i | 0.0187996 | − | 0.130754i | ||||
\(291\) | 0.572045 | − | 0.660175i | 0.0335339 | − | 0.0387002i | ||||
\(292\) | −5.48910 | + | 12.0195i | −0.321225 | + | 0.703386i | ||||
\(293\) | 5.48975 | + | 3.52805i | 0.320715 | + | 0.206111i | 0.691085 | − | 0.722773i | \(-0.257133\pi\) |
−0.370371 | + | 0.928884i | \(0.620769\pi\) | |||||||
\(294\) | 0.195629 | + | 1.36063i | 0.0114093 | + | 0.0793537i | ||||
\(295\) | −6.11947 | + | 3.93275i | −0.356289 | + | 0.228973i | ||||
\(296\) | −3.15565 | − | 3.64182i | −0.183419 | − | 0.211676i | ||||
\(297\) | −1.51662 | + | 0.445319i | −0.0880031 | + | 0.0258401i | ||||
\(298\) | 18.4911 | 1.07116 | ||||||||
\(299\) | −10.7471 | + | 19.8669i | −0.621520 | + | 1.14893i | ||||
\(300\) | −9.61578 | −0.555167 | ||||||||
\(301\) | −34.0644 | + | 10.0022i | −1.96344 | + | 0.576518i | ||||
\(302\) | 0.649548 | + | 0.749618i | 0.0373773 | + | 0.0431357i | ||||
\(303\) | 9.17831 | − | 5.89854i | 0.527280 | − | 0.338863i | ||||
\(304\) | −0.305738 | − | 2.12646i | −0.0175353 | − | 0.121961i | ||||
\(305\) | −40.6988 | − | 26.1555i | −2.33041 | − | 1.49766i | ||||
\(306\) | −1.96815 | + | 4.30965i | −0.112512 | + | 0.246367i | ||||
\(307\) | −3.02366 | + | 3.48950i | −0.172570 | + | 0.199156i | −0.835445 | − | 0.549573i | \(-0.814790\pi\) |
0.662876 | + | 0.748729i | \(0.269336\pi\) | |||||||
\(308\) | 0.650980 | − | 4.52766i | 0.0370930 | − | 0.257988i | ||||
\(309\) | −1.53404 | − | 3.35908i | −0.0872686 | − | 0.191091i | ||||
\(310\) | −0.626353 | − | 0.183914i | −0.0355745 | − | 0.0104456i | ||||
\(311\) | 10.3050 | + | 3.02582i | 0.584342 | + | 0.171578i | 0.560524 | − | 0.828138i | \(-0.310600\pi\) |
0.0238177 | + | 0.999716i | \(0.492418\pi\) | |||||||
\(312\) | −1.95653 | − | 4.28419i | −0.110766 | − | 0.242545i | ||||
\(313\) | −3.79837 | + | 26.4182i | −0.214696 | + | 1.49325i | 0.542498 | + | 0.840057i | \(0.317479\pi\) |
−0.757194 | + | 0.653190i | \(0.773430\pi\) | |||||||
\(314\) | −5.31074 | + | 6.12892i | −0.299702 | + | 0.345875i | ||||
\(315\) | 4.59596 | − | 10.0637i | 0.258953 | − | 0.567027i | ||||
\(316\) | 9.82966 | + | 6.31714i | 0.552962 | + | 0.355367i | ||||
\(317\) | −2.72980 | − | 18.9862i | −0.153321 | − | 1.06637i | −0.910603 | − | 0.413282i | \(-0.864382\pi\) |
0.757282 | − | 0.653087i | \(-0.226527\pi\) | |||||||
\(318\) | 8.67145 | − | 5.57281i | 0.486271 | − | 0.312507i | ||||
\(319\) | −0.609073 | − | 0.702907i | −0.0341015 | − | 0.0393553i | ||||
\(320\) | −3.66820 | + | 1.07708i | −0.205058 | + | 0.0602106i | ||||
\(321\) | −10.7665 | −0.600925 | ||||||||
\(322\) | −12.1548 | + | 6.69910i | −0.677359 | + | 0.373326i | ||||
\(323\) | −10.1783 | −0.566337 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | −29.6577 | − | 34.2268i | −1.64511 | − | 1.89856i | ||||
\(326\) | −19.4127 | + | 12.4758i | −1.07517 | + | 0.690970i | ||||
\(327\) | −1.18314 | − | 8.22895i | −0.0654280 | − | 0.455062i | ||||
\(328\) | −8.74672 | − | 5.62118i | −0.482957 | − | 0.310378i | ||||
\(329\) | 6.55807 | − | 14.3602i | 0.361558 | − | 0.791701i | ||||
\(330\) | −3.95726 | + | 4.56692i | −0.217840 | + | 0.251401i | ||||
\(331\) | −1.24393 | + | 8.65169i | −0.0683723 | + | 0.475540i | 0.926653 | + | 0.375918i | \(0.122672\pi\) |
−0.995025 | + | 0.0996221i | \(0.968237\pi\) | |||||||
\(332\) | −0.0470448 | − | 0.103014i | −0.00258192 | − | 0.00565361i | ||||
\(333\) | −4.62362 | − | 1.35762i | −0.253373 | − | 0.0743969i | ||||
\(334\) | 5.07075 | + | 1.48891i | 0.277459 | + | 0.0814694i | ||||
\(335\) | 9.33214 | + | 20.4345i | 0.509869 | + | 1.11646i | ||||
\(336\) | 0.411844 | − | 2.86444i | 0.0224679 | − | 0.156268i | ||||
\(337\) | 2.13088 | − | 2.45916i | 0.116076 | − | 0.133959i | −0.694738 | − | 0.719263i | \(-0.744479\pi\) |
0.810814 | + | 0.585304i | \(0.199025\pi\) | |||||||
\(338\) | 3.81447 | − | 8.35253i | 0.207480 | − | 0.454318i | ||||
\(339\) | −6.32016 | − | 4.06172i | −0.343264 | − | 0.220602i | ||||
\(340\) | 2.57773 | + | 17.9285i | 0.139797 | + | 0.972311i | ||||
\(341\) | −0.227054 | + | 0.145918i | −0.0122956 | + | 0.00790193i | ||||
\(342\) | −1.40685 | − | 1.62359i | −0.0760739 | − | 0.0877939i | ||||
\(343\) | 15.6198 | − | 4.58639i | 0.843391 | − | 0.247642i | ||||
\(344\) | 12.2681 | 0.661451 | ||||||||
\(345\) | 18.2930 | + | 1.23616i | 0.984863 | + | 0.0665525i | ||||
\(346\) | 14.3906 | 0.773644 | ||||||||
\(347\) | 5.00067 | − | 1.46833i | 0.268450 | − | 0.0788241i | −0.144737 | − | 0.989470i | \(-0.546234\pi\) |
0.413187 | + | 0.910646i | \(0.364415\pi\) | |||||||
\(348\) | −0.385331 | − | 0.444696i | −0.0206559 | − | 0.0238382i | ||||
\(349\) | 13.0168 | − | 8.36539i | 0.696773 | − | 0.447789i | −0.143715 | − | 0.989619i | \(-0.545905\pi\) |
0.840488 | + | 0.541830i | \(0.182268\pi\) | |||||||
\(350\) | −3.96020 | − | 27.5438i | −0.211682 | − | 1.47228i | ||||
\(351\) | −3.96215 | − | 2.54632i | −0.211484 | − | 0.135912i | ||||
\(352\) | −0.656624 | + | 1.43781i | −0.0349982 | + | 0.0766353i | ||||
\(353\) | 1.05867 | − | 1.22177i | 0.0563473 | − | 0.0650283i | −0.726876 | − | 0.686769i | \(-0.759029\pi\) |
0.783224 | + | 0.621740i | \(0.213574\pi\) | |||||||
\(354\) | −0.270786 | + | 1.88336i | −0.0143921 | + | 0.100099i | ||||
\(355\) | −18.7746 | − | 41.1105i | −0.996450 | − | 2.18192i | ||||
\(356\) | 11.7429 | + | 3.44802i | 0.622371 | + | 0.182745i | ||||
\(357\) | −13.1553 | − | 3.86275i | −0.696253 | − | 0.204438i | ||||
\(358\) | 4.65268 | + | 10.1879i | 0.245902 | + | 0.538449i | ||||
\(359\) | −1.92950 | + | 13.4199i | −0.101835 | + | 0.708278i | 0.873383 | + | 0.487033i | \(0.161921\pi\) |
−0.975218 | + | 0.221244i | \(0.928988\pi\) | |||||||
\(360\) | −2.50357 | + | 2.88927i | −0.131950 | + | 0.152278i | ||||
\(361\) | −5.97562 | + | 13.0848i | −0.314507 | + | 0.688673i | ||||
\(362\) | 7.39855 | + | 4.75476i | 0.388859 | + | 0.249905i | ||||
\(363\) | −1.20990 | − | 8.41502i | −0.0635032 | − | 0.441674i | ||||
\(364\) | 11.4660 | − | 7.36877i | 0.600983 | − | 0.386228i | ||||
\(365\) | 33.0810 | + | 38.1775i | 1.73154 | + | 1.99830i | ||||
\(366\) | −12.1419 | + | 3.56518i | −0.634666 | + | 0.186355i | ||||
\(367\) | 16.2735 | 0.849467 | 0.424734 | − | 0.905318i | \(-0.360368\pi\) | ||||
0.424734 | + | 0.905318i | \(0.360368\pi\) | |||||||
\(368\) | 4.68219 | − | 1.03782i | 0.244076 | − | 0.0541002i | ||||
\(369\) | −10.3972 | −0.541259 | ||||||||
\(370\) | −17.6764 | + | 5.19025i | −0.918950 | + | 0.269828i | ||||
\(371\) | 19.5342 | + | 22.5437i | 1.01417 | + | 1.17041i | ||||
\(372\) | −0.143646 | + | 0.0923157i | −0.00744770 | + | 0.00478635i | ||||
\(373\) | −0.992630 | − | 6.90390i | −0.0513965 | − | 0.357470i | −0.999249 | − | 0.0387597i | \(-0.987659\pi\) |
0.947852 | − | 0.318710i | \(-0.103250\pi\) | |||||||
\(374\) | 6.29997 | + | 4.04874i | 0.325763 | + | 0.209355i | ||||
\(375\) | −7.33057 | + | 16.0517i | −0.378549 | + | 0.828907i | ||||
\(376\) | −3.57240 | + | 4.12277i | −0.184232 | + | 0.212615i | ||||
\(377\) | 0.394402 | − | 2.74313i | 0.0203127 | − | 0.141278i | ||||
\(378\) | −1.20217 | − | 2.63238i | −0.0618328 | − | 0.135395i | ||||
\(379\) | −15.8428 | − | 4.65185i | −0.813788 | − | 0.238950i | −0.151749 | − | 0.988419i | \(-0.548490\pi\) |
−0.662039 | + | 0.749470i | \(0.730309\pi\) | |||||||
\(380\) | −7.88047 | − | 2.31392i | −0.404260 | − | 0.118701i | ||||
\(381\) | 3.15200 | + | 6.90191i | 0.161482 | + | 0.353595i | ||||
\(382\) | 0.901138 | − | 6.26755i | 0.0461062 | − | 0.320676i | ||||
\(383\) | 14.6610 | − | 16.9196i | 0.749140 | − | 0.864553i | −0.245345 | − | 0.969436i | \(-0.578901\pi\) |
0.994485 | + | 0.104883i | \(0.0334467\pi\) | |||||||
\(384\) | −0.415415 | + | 0.909632i | −0.0211991 | + | 0.0464195i | ||||
\(385\) | −14.7114 | − | 9.45447i | −0.749764 | − | 0.481844i | ||||
\(386\) | 0.437455 | + | 3.04256i | 0.0222659 | + | 0.154862i | ||||
\(387\) | 10.3206 | − | 6.63263i | 0.524624 | − | 0.337155i | ||||
\(388\) | −0.572045 | − | 0.660175i | −0.0290412 | − | 0.0335153i | ||||
\(389\) | 7.23675 | − | 2.12490i | 0.366918 | − | 0.107737i | −0.0930757 | − | 0.995659i | \(-0.529670\pi\) |
0.459994 | + | 0.887922i | \(0.347852\pi\) | |||||||
\(390\) | −18.0059 | −0.911763 | ||||||||
\(391\) | −1.70994 | − | 22.6573i | −0.0864752 | − | 1.14583i | ||||
\(392\) | 1.37462 | 0.0694290 | ||||||||
\(393\) | 17.0872 | − | 5.01725i | 0.861934 | − | 0.253087i | ||||
\(394\) | 0.630903 | + | 0.728101i | 0.0317844 | + | 0.0366812i | ||||
\(395\) | 37.5794 | − | 24.1508i | 1.89082 | − | 1.21516i | ||||
\(396\) | 0.224949 | + | 1.56456i | 0.0113041 | + | 0.0786220i | ||||
\(397\) | 24.1929 | + | 15.5478i | 1.21421 | + | 0.780323i | 0.981358 | − | 0.192190i | \(-0.0615589\pi\) |
0.232849 | + | 0.972513i | \(0.425195\pi\) | |||||||
\(398\) | 1.35977 | − | 2.97748i | 0.0681592 | − | 0.149248i | ||||
\(399\) | 4.07128 | − | 4.69851i | 0.203819 | − | 0.235220i | ||||
\(400\) | −1.36847 | + | 9.51790i | −0.0684234 | + | 0.475895i | ||||
\(401\) | 2.83133 | + | 6.19974i | 0.141390 | + | 0.309600i | 0.967058 | − | 0.254555i | \(-0.0819291\pi\) |
−0.825668 | + | 0.564156i | \(0.809202\pi\) | |||||||
\(402\) | 5.63806 | + | 1.65548i | 0.281201 | + | 0.0825680i | ||||
\(403\) | −0.771635 | − | 0.226573i | −0.0384379 | − | 0.0112864i | ||||
\(404\) | −4.53230 | − | 9.92434i | −0.225490 | − | 0.493755i | ||||
\(405\) | −0.544078 | + | 3.78415i | −0.0270355 | + | 0.188036i | ||||
\(406\) | 1.11511 | − | 1.28690i | 0.0553419 | − | 0.0638680i | ||||
\(407\) | −3.16415 | + | 6.92852i | −0.156841 | + | 0.343434i | ||||
\(408\) | 3.98569 | + | 2.56145i | 0.197321 | + | 0.126811i | ||||
\(409\) | 3.95559 | + | 27.5118i | 0.195592 | + | 1.36037i | 0.816889 | + | 0.576794i | \(0.195697\pi\) |
−0.621298 | + | 0.783574i | \(0.713394\pi\) | |||||||
\(410\) | −33.4392 | + | 21.4901i | −1.65145 | + | 1.06132i | ||||
\(411\) | −0.499638 | − | 0.576613i | −0.0246453 | − | 0.0284422i | ||||
\(412\) | −3.54321 | + | 1.04038i | −0.174561 | + | 0.0512558i | ||||
\(413\) | −5.50628 | −0.270947 | ||||||||
\(414\) | 3.37782 | − | 3.40446i | 0.166011 | − | 0.167320i | ||||
\(415\) | −0.432953 | −0.0212528 | ||||||||
\(416\) | −4.51903 | + | 1.32691i | −0.221564 | + | 0.0650570i | ||||
\(417\) | 6.04182 | + | 6.97264i | 0.295869 | + | 0.341452i | ||||
\(418\) | −2.85668 | + | 1.83587i | −0.139725 | + | 0.0897956i | ||||
\(419\) | 2.15488 | + | 14.9875i | 0.105273 | + | 0.732189i | 0.972268 | + | 0.233871i | \(0.0751395\pi\) |
−0.866995 | + | 0.498317i | \(0.833951\pi\) | |||||||
\(420\) | −9.30723 | − | 5.98139i | −0.454146 | − | 0.291862i | ||||
\(421\) | 15.8458 | − | 34.6974i | 0.772276 | − | 1.69105i | 0.0507004 | − | 0.998714i | \(-0.483855\pi\) |
0.721576 | − | 0.692335i | \(-0.243418\pi\) | |||||||
\(422\) | 15.9900 | − | 18.4535i | 0.778382 | − | 0.898301i | ||||
\(423\) | −0.776356 | + | 5.39968i | −0.0377477 | + | 0.262541i | ||||
\(424\) | −4.28201 | − | 9.37628i | −0.207953 | − | 0.455353i | ||||
\(425\) | 43.7122 | + | 12.8351i | 2.12035 | + | 0.622592i | ||||
\(426\) | −11.3427 | − | 3.33053i | −0.549558 | − | 0.161365i | ||||
\(427\) | −15.2128 | − | 33.3114i | −0.736198 | − | 1.61205i | ||||
\(428\) | −1.53223 | + | 10.6569i | −0.0740629 | + | 0.515119i | ||||
\(429\) | −4.87514 | + | 5.62621i | −0.235374 | + | 0.271636i | ||||
\(430\) | 19.4836 | − | 42.6632i | 0.939584 | − | 2.05740i | ||||
\(431\) | 8.59239 | + | 5.52199i | 0.413881 | + | 0.265985i | 0.730969 | − | 0.682411i | \(-0.239069\pi\) |
−0.317088 | + | 0.948396i | \(0.602705\pi\) | |||||||
\(432\) | 0.142315 | + | 0.989821i | 0.00684713 | + | 0.0476228i | ||||
\(433\) | −8.26339 | + | 5.31056i | −0.397113 | + | 0.255209i | −0.723923 | − | 0.689881i | \(-0.757663\pi\) |
0.326810 | + | 0.945090i | \(0.394026\pi\) | |||||||
\(434\) | −0.323592 | − | 0.373446i | −0.0155329 | − | 0.0179260i | ||||
\(435\) | −2.15843 | + | 0.633773i | −0.103489 | + | 0.0303871i | ||||
\(436\) | −8.31357 | −0.398148 | ||||||||
\(437\) | 9.66745 | + | 3.56259i | 0.462457 | + | 0.170422i | ||||
\(438\) | 13.2135 | 0.631367 | ||||||||
\(439\) | 7.48022 | − | 2.19639i | 0.357011 | − | 0.104828i | −0.0983084 | − | 0.995156i | \(-0.531343\pi\) |
0.455320 | + | 0.890328i | \(0.349525\pi\) | |||||||
\(440\) | 3.95726 | + | 4.56692i | 0.188655 | + | 0.217719i | ||||
\(441\) | 1.15641 | − | 0.743178i | 0.0550670 | − | 0.0353894i | ||||
\(442\) | 3.17563 | + | 22.0870i | 0.151049 | + | 1.05057i | ||||
\(443\) | −23.7409 | − | 15.2573i | −1.12796 | − | 0.724898i | −0.162829 | − | 0.986654i | \(-0.552062\pi\) |
−0.965134 | + | 0.261756i | \(0.915698\pi\) | |||||||
\(444\) | −2.00181 | + | 4.38335i | −0.0950016 | + | 0.208024i | ||||
\(445\) | 30.6403 | − | 35.3608i | 1.45249 | − | 1.67626i | ||||
\(446\) | −2.16306 | + | 15.0444i | −0.102424 | + | 0.712373i | ||||
\(447\) | −7.68147 | − | 16.8201i | −0.363321 | − | 0.795562i | ||||
\(448\) | −2.77667 | − | 0.815304i | −0.131185 | − | 0.0385195i | ||||
\(449\) | 12.2407 | + | 3.59418i | 0.577673 | + | 0.169620i | 0.557501 | − | 0.830176i | \(-0.311760\pi\) |
0.0201722 | + | 0.999797i | \(0.493579\pi\) | |||||||
\(450\) | 3.99454 | + | 8.74682i | 0.188304 | + | 0.412329i | ||||
\(451\) | −2.33885 | + | 16.2671i | −0.110132 | + | 0.765987i | ||||
\(452\) | −4.91983 | + | 5.67778i | −0.231409 | + | 0.267060i | ||||
\(453\) | 0.412045 | − | 0.902252i | 0.0193596 | − | 0.0423915i | ||||
\(454\) | 10.8795 | + | 6.99182i | 0.510599 | + | 0.328142i | ||||
\(455\) | −7.41562 | − | 51.5767i | −0.347649 | − | 2.41796i | ||||
\(456\) | −1.80728 | + | 1.16147i | −0.0846338 | + | 0.0543909i | ||||
\(457\) | −6.13629 | − | 7.08166i | −0.287044 | − | 0.331266i | 0.593854 | − | 0.804573i | \(-0.297606\pi\) |
−0.880898 | + | 0.473307i | \(0.843060\pi\) | |||||||
\(458\) | 0.910081 | − | 0.267224i | 0.0425253 | − | 0.0124865i | ||||
\(459\) | 4.73780 | 0.221142 | ||||||||
\(460\) | 3.82694 | − | 17.9309i | 0.178432 | − | 0.836033i | ||||
\(461\) | −11.6569 | −0.542916 | −0.271458 | − | 0.962450i | \(-0.587506\pi\) | ||||
−0.271458 | + | 0.962450i | \(0.587506\pi\) | |||||||
\(462\) | −4.38893 | + | 1.28871i | −0.204192 | + | 0.0599561i | ||||
\(463\) | −8.92436 | − | 10.2993i | −0.414750 | − | 0.478647i | 0.509480 | − | 0.860482i | \(-0.329838\pi\) |
−0.924230 | + | 0.381835i | \(0.875292\pi\) | |||||||
\(464\) | −0.495008 | + | 0.318122i | −0.0229802 | + | 0.0147685i | ||||
\(465\) | 0.0929026 | + | 0.646152i | 0.00430825 | + | 0.0299646i | ||||
\(466\) | 11.7340 | + | 7.54097i | 0.543566 | + | 0.349329i | ||||
\(467\) | 2.73218 | − | 5.98265i | 0.126430 | − | 0.276844i | −0.835823 | − | 0.548999i | \(-0.815009\pi\) |
0.962253 | + | 0.272155i | \(0.0877364\pi\) | |||||||
\(468\) | −3.08427 | + | 3.55944i | −0.142570 | + | 0.164535i | ||||
\(469\) | −2.42003 | + | 16.8317i | −0.111747 | + | 0.777215i | ||||
\(470\) | 8.66371 | + | 18.9709i | 0.399627 | + | 0.875062i | ||||
\(471\) | 7.78122 | + | 2.28477i | 0.358540 | + | 0.105277i | ||||
\(472\) | 1.82565 | + | 0.536060i | 0.0840324 | + | 0.0246741i | ||||
\(473\) | −8.05552 | − | 17.6391i | −0.370393 | − | 0.811048i | ||||
\(474\) | 1.66288 | − | 11.5656i | 0.0763788 | − | 0.531226i | ||||
\(475\) | −13.5280 | + | 15.6121i | −0.620706 | + | 0.716333i | ||||
\(476\) | −5.69563 | + | 12.4717i | −0.261059 | + | 0.571639i | ||||
\(477\) | −8.67145 | − | 5.57281i | −0.397039 | − | 0.255161i | ||||
\(478\) | 0.347717 | + | 2.41842i | 0.0159042 | + | 0.110616i | ||||
\(479\) | 7.77358 | − | 4.99577i | 0.355184 | − | 0.228263i | −0.350865 | − | 0.936426i | \(-0.614112\pi\) |
0.706049 | + | 0.708163i | \(0.250476\pi\) | |||||||
\(480\) | 2.50357 | + | 2.88927i | 0.114272 | + | 0.131877i | ||||
\(481\) | −21.7764 | + | 6.39412i | −0.992917 | + | 0.291547i | ||||
\(482\) | 10.8636 | 0.494822 | ||||||||
\(483\) | 11.1430 | + | 8.27346i | 0.507024 | + | 0.376455i | ||||
\(484\) | −8.50156 | −0.386434 | ||||||||
\(485\) | −3.20431 | + | 0.940870i | −0.145500 | + | 0.0427227i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | −31.9883 | + | 20.5576i | −1.44953 | + | 0.931556i | −0.450277 | + | 0.892889i | \(0.648675\pi\) |
−0.999252 | + | 0.0386669i | \(0.987689\pi\) | |||||||
\(488\) | 1.80092 | + | 12.5257i | 0.0815237 | + | 0.567010i | ||||
\(489\) | 19.4127 | + | 12.4758i | 0.877873 | + | 0.564175i | ||||
\(490\) | 2.18312 | − | 4.78036i | 0.0986231 | − | 0.215955i | ||||
\(491\) | 2.80715 | − | 3.23963i | 0.126685 | − | 0.146202i | −0.688863 | − | 0.724891i | \(-0.741890\pi\) |
0.815548 | + | 0.578689i | \(0.196435\pi\) | |||||||
\(492\) | −1.47968 | + | 10.2914i | −0.0667092 | + | 0.463973i | ||||
\(493\) | 1.15810 | + | 2.53588i | 0.0521580 | + | 0.114210i | ||||
\(494\) | −9.70834 | − | 2.85062i | −0.436799 | − | 0.128256i | ||||
\(495\) | 5.79812 | + | 1.70248i | 0.260606 | + | 0.0765209i | ||||
\(496\) | 0.0709331 | + | 0.155322i | 0.00318499 | + | 0.00697416i | ||||
\(497\) | 4.86866 | − | 33.8623i | 0.218389 | − | 1.51893i | ||||
\(498\) | −0.0741615 | + | 0.0855869i | −0.00332326 | + | 0.00383524i | ||||
\(499\) | −12.5785 | + | 27.5431i | −0.563091 | + | 1.23300i | 0.387304 | + | 0.921952i | \(0.373407\pi\) |
−0.950395 | + | 0.311046i | \(0.899321\pi\) | |||||||
\(500\) | 14.8451 | + | 9.54036i | 0.663892 | + | 0.426658i | ||||
\(501\) | −0.752109 | − | 5.23103i | −0.0336018 | − | 0.233705i | ||||
\(502\) | −12.0477 | + | 7.74258i | −0.537714 | + | 0.345568i | ||||
\(503\) | −7.63837 | − | 8.81514i | −0.340578 | − | 0.393048i | 0.559462 | − | 0.828856i | \(-0.311008\pi\) |
−0.900039 | + | 0.435808i | \(0.856463\pi\) | |||||||
\(504\) | −2.77667 | + | 0.815304i | −0.123683 | + | 0.0363165i | ||||
\(505\) | −41.7107 | −1.85610 | ||||||||
\(506\) | −4.56663 | − | 6.05063i | −0.203011 | − | 0.268983i | ||||
\(507\) | −9.18232 | −0.407801 | ||||||||
\(508\) | 7.28023 | − | 2.13767i | 0.323008 | − | 0.0948437i | ||||
\(509\) | 10.0217 | + | 11.5656i | 0.444203 | + | 0.512638i | 0.933057 | − | 0.359728i | \(-0.117130\pi\) |
−0.488854 | + | 0.872366i | \(0.662585\pi\) | |||||||
\(510\) | 15.2375 | − | 9.79257i | 0.674729 | − | 0.433622i | ||||
\(511\) | 5.44192 | + | 37.8494i | 0.240736 | + | 1.67436i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −0.892446 | + | 1.95418i | −0.0394024 | + | 0.0862793i | ||||
\(514\) | 2.77942 | − | 3.20763i | 0.122595 | − | 0.141482i | ||||
\(515\) | −2.00917 | + | 13.9741i | −0.0885345 | + | 0.615771i | ||||
\(516\) | −5.09635 | − | 11.1594i | −0.224354 | − | 0.491267i | ||||
\(517\) | 8.27346 | + | 2.42931i | 0.363866 | + | 0.106841i | ||||
\(518\) | −13.3803 | − | 3.92880i | −0.587895 | − | 0.172622i | ||||
\(519\) | −5.97807 | − | 13.0902i | −0.262408 | − | 0.574594i | ||||
\(520\) | −2.56250 | + | 17.8226i | −0.112373 | + | 0.781573i | ||||
\(521\) | −1.26434 | + | 1.45913i | −0.0553918 | + | 0.0639256i | −0.782769 | − | 0.622312i | \(-0.786194\pi\) |
0.727377 | + | 0.686238i | \(0.240739\pi\) | |||||||
\(522\) | −0.244437 | + | 0.535243i | −0.0106987 | + | 0.0234270i | ||||
\(523\) | −15.3733 | − | 9.87985i | −0.672229 | − | 0.432016i | 0.159499 | − | 0.987198i | \(-0.449012\pi\) |
−0.831729 | + | 0.555183i | \(0.812648\pi\) | |||||||
\(524\) | −2.53442 | − | 17.6273i | −0.110717 | − | 0.770051i | ||||
\(525\) | −23.4096 | + | 15.0444i | −1.02168 | + | 0.656593i | ||||
\(526\) | 4.65197 | + | 5.36866i | 0.202836 | + | 0.234085i | ||||
\(527\) | 0.776221 | − | 0.227919i | 0.0338127 | − | 0.00992831i | ||||
\(528\) | 1.58065 | 0.0687888 | ||||||||
\(529\) | −6.30632 | + | 22.1186i | −0.274188 | + | 0.961676i | ||||
\(530\) | −39.4072 | −1.71174 | ||||||||
\(531\) | 1.82565 | − | 0.536060i | 0.0792265 | − | 0.0232630i | ||||
\(532\) | −4.07128 | − | 4.69851i | −0.176512 | − | 0.203706i | ||||
\(533\) | −41.1954 | + | 26.4747i | −1.78437 | + | 1.14675i | ||||
\(534\) | −1.74174 | − | 12.1141i | −0.0753724 | − | 0.524227i | ||||
\(535\) | 34.6266 | + | 22.2532i | 1.49704 | + | 0.962089i | ||||
\(536\) | 2.44101 | − | 5.34507i | 0.105436 | − | 0.230872i | ||||
\(537\) | 7.33448 | − | 8.46445i | 0.316506 | − | 0.365268i | ||||
\(538\) | 1.10043 | − | 7.65364i | 0.0474428 | − | 0.329972i | ||||
\(539\) | −0.902611 | − | 1.97644i | −0.0388782 | − | 0.0851314i | ||||
\(540\) | 3.66820 | + | 1.07708i | 0.157854 | + | 0.0463501i | ||||
\(541\) | −42.6494 | − | 12.5230i | −1.83364 | − | 0.538405i | −0.833734 | − | 0.552167i | \(-0.813801\pi\) |
−0.999905 | + | 0.0137620i | \(0.995619\pi\) | |||||||
\(542\) | −2.11055 | − | 4.62146i | −0.0906558 | − | 0.198509i | ||||
\(543\) | 1.25161 | − | 8.70516i | 0.0537118 | − | 0.373574i | ||||
\(544\) | 3.10260 | − | 3.58059i | 0.133023 | − | 0.153517i | ||||
\(545\) | −13.2032 | + | 28.9111i | −0.565565 | + | 1.23841i | ||||
\(546\) | −11.4660 | − | 7.36877i | −0.490701 | − | 0.315354i | ||||
\(547\) | −2.71929 | − | 18.9131i | −0.116268 | − | 0.808665i | −0.961606 | − | 0.274433i | \(-0.911510\pi\) |
0.845338 | − | 0.534232i | \(-0.179399\pi\) | |||||||
\(548\) | −0.641849 | + | 0.412491i | −0.0274184 | + | 0.0176208i | ||||
\(549\) | 8.28691 | + | 9.56361i | 0.353677 | + | 0.408165i | ||||
\(550\) | 14.5835 | − | 4.28209i | 0.621841 | − | 0.182589i | ||||
\(551\) | −1.26411 | −0.0538529 | ||||||||
\(552\) | −2.88909 | − | 3.82794i | −0.122968 | − | 0.162928i | ||||
\(553\) | 33.8138 | 1.43791 | ||||||||
\(554\) | 14.7675 | − | 4.33613i | 0.627411 | − | 0.184224i | ||||
\(555\) | 12.0642 | + | 13.9229i | 0.512099 | + | 0.590993i | ||||
\(556\) | 7.76151 | − | 4.98802i | 0.329161 | − | 0.211539i | ||||
\(557\) | 6.27333 | + | 43.6320i | 0.265809 | + | 1.84875i | 0.486856 | + | 0.873482i | \(0.338144\pi\) |
−0.221047 | + | 0.975263i | \(0.570947\pi\) | |||||||
\(558\) | 0.143646 | + | 0.0923157i | 0.00608102 | + | 0.00390804i | ||||
\(559\) | 24.0028 | − | 52.5589i | 1.01521 | − | 2.22300i | ||||
\(560\) | −7.24507 | + | 8.36126i | −0.306160 | + | 0.353328i | ||||
\(561\) | 1.06577 | − | 7.41256i | 0.0449966 | − | 0.312958i | ||||
\(562\) | −1.37069 | − | 3.00140i | −0.0578192 | − | 0.126606i | ||||
\(563\) | −37.8423 | − | 11.1115i | −1.59486 | − | 0.468294i | −0.640751 | − | 0.767749i | \(-0.721377\pi\) |
−0.954110 | + | 0.299455i | \(0.903195\pi\) | |||||||
\(564\) | 5.23423 | + | 1.53691i | 0.220401 | + | 0.0647155i | ||||
\(565\) | 11.9315 | + | 26.1263i | 0.501961 | + | 1.09914i | ||||
\(566\) | 3.68348 | − | 25.6192i | 0.154828 | − | 1.07685i | ||||
\(567\) | −1.89510 | + | 2.18706i | −0.0795866 | + | 0.0918479i | ||||
\(568\) | −4.91087 | + | 10.7533i | −0.206056 | + | 0.451199i | ||||
\(569\) | −32.2425 | − | 20.7210i | −1.35168 | − | 0.868669i | −0.353897 | − | 0.935284i | \(-0.615144\pi\) |
−0.997779 | + | 0.0666150i | \(0.978780\pi\) | |||||||
\(570\) | 1.16886 | + | 8.12957i | 0.0489580 | + | 0.340510i | ||||
\(571\) | −14.2767 | + | 9.17508i | −0.597462 | + | 0.383965i | −0.804137 | − | 0.594444i | \(-0.797372\pi\) |
0.206675 | + | 0.978410i | \(0.433736\pi\) | |||||||
\(572\) | 4.87514 | + | 5.62621i | 0.203840 | + | 0.235244i | ||||
\(573\) | −6.07551 | + | 1.78393i | −0.253808 | + | 0.0745248i | ||||
\(574\) | −30.0885 | −1.25587 | ||||||||
\(575\) | −37.0257 | − | 27.4909i | −1.54408 | − | 1.14645i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 27.9974 | − | 8.22079i | 1.16555 | − | 0.342236i | 0.358962 | − | 0.933352i | \(-0.383131\pi\) |
0.806586 | + | 0.591116i | \(0.201313\pi\) | |||||||
\(578\) | −3.56686 | − | 4.11638i | −0.148362 | − | 0.171219i | ||||
\(579\) | 2.58589 | − | 1.66185i | 0.107466 | − | 0.0690641i | ||||
\(580\) | 0.320145 | + | 2.22666i | 0.0132933 | + | 0.0924569i | ||||
\(581\) | −0.275701 | − | 0.177183i | −0.0114380 | − | 0.00735077i | ||||
\(582\) | −0.362880 | + | 0.794597i | −0.0150419 | + | 0.0329371i | ||||
\(583\) | −10.6696 | + | 12.3134i | −0.441890 | + | 0.509968i | ||||
\(584\) | 1.88048 | − | 13.0790i | 0.0778149 | − | 0.541215i | ||||
\(585\) | 7.47991 | + | 16.3787i | 0.309256 | + | 0.677177i | ||||
\(586\) | −6.26134 | − | 1.83850i | −0.258654 | − | 0.0759476i | ||||
\(587\) | 14.5667 | + | 4.27716i | 0.601231 | + | 0.176537i | 0.568163 | − | 0.822916i | \(-0.307654\pi\) |
0.0330675 | + | 0.999453i | \(0.489472\pi\) | |||||||
\(588\) | −0.571039 | − | 1.25040i | −0.0235493 | − | 0.0515657i | ||||
\(589\) | −0.0522055 | + | 0.363097i | −0.00215109 | + | 0.0149612i | ||||
\(590\) | 4.76361 | − | 5.49750i | 0.196115 | − | 0.226328i | ||||
\(591\) | 0.400217 | − | 0.876353i | 0.0164627 | − | 0.0360484i | ||||
\(592\) | 4.05384 | + | 2.60525i | 0.166612 | + | 0.107075i | ||||
\(593\) | 4.44889 | + | 30.9427i | 0.182694 | + | 1.27066i | 0.850359 | + | 0.526203i | \(0.176385\pi\) |
−0.667665 | + | 0.744462i | \(0.732706\pi\) | |||||||
\(594\) | 1.32972 | − | 0.854562i | 0.0545592 | − | 0.0350631i | ||||
\(595\) | 34.3257 | + | 39.6140i | 1.40722 | + | 1.62401i | ||||
\(596\) | −17.7421 | + | 5.20954i | −0.726743 | + | 0.213391i | ||||
\(597\) | −3.27328 | −0.133967 | ||||||||
\(598\) | 4.71460 | − | 22.0899i | 0.192794 | − | 0.903325i | ||||
\(599\) | −30.8576 | −1.26081 | −0.630405 | − | 0.776267i | \(-0.717111\pi\) | ||||
−0.630405 | + | 0.776267i | \(0.717111\pi\) | |||||||
\(600\) | 9.22627 | − | 2.70908i | 0.376661 | − | 0.110598i | ||||
\(601\) | −4.34025 | − | 5.00891i | −0.177042 | − | 0.204318i | 0.660292 | − | 0.751009i | \(-0.270433\pi\) |
−0.837334 | + | 0.546691i | \(0.815887\pi\) | |||||||
\(602\) | 29.8666 | − | 19.1941i | 1.21727 | − | 0.782294i | ||||
\(603\) | −0.836254 | − | 5.81627i | −0.0340549 | − | 0.236857i | ||||
\(604\) | −0.834429 | − | 0.536255i | −0.0339524 | − | 0.0218199i | ||||
\(605\) | −13.5018 | + | 29.5648i | −0.548926 | + | 1.20198i | ||||
\(606\) | −7.14472 | + | 8.24544i | −0.290234 | + | 0.334948i | ||||
\(607\) | 3.35546 | − | 23.3377i | 0.136194 | − | 0.947250i | −0.801055 | − | 0.598590i | \(-0.795728\pi\) |
0.937249 | − | 0.348660i | \(-0.113363\pi\) | |||||||
\(608\) | 0.892446 | + | 1.95418i | 0.0361934 | + | 0.0792526i | ||||
\(609\) | −1.63384 | − | 0.479739i | −0.0662066 | − | 0.0194400i | ||||
\(610\) | 46.4191 | + | 13.6299i | 1.87945 | + | 0.551857i | ||||
\(611\) | 10.6732 | + | 23.3712i | 0.431793 | + | 0.945496i | ||||
\(612\) | 0.674259 | − | 4.68958i | 0.0272553 | − | 0.189565i | ||||
\(613\) | 21.3290 | − | 24.6150i | 0.861469 | − | 0.994189i | −0.138523 | − | 0.990359i | \(-0.544236\pi\) |
0.999993 | − | 0.00382949i | \(-0.00121897\pi\) | |||||||
\(614\) | 1.91808 | − | 4.20001i | 0.0774074 | − | 0.169499i | ||||
\(615\) | 33.4392 | + | 21.4901i | 1.34840 | + | 0.866564i | ||||
\(616\) | 0.650980 | + | 4.52766i | 0.0262287 | + | 0.182425i | ||||
\(617\) | −5.04770 | + | 3.24396i | −0.203213 | + | 0.130597i | −0.638289 | − | 0.769797i | \(-0.720358\pi\) |
0.435077 | + | 0.900393i | \(0.356721\pi\) | |||||||
\(618\) | 2.41826 | + | 2.79083i | 0.0972769 | + | 0.112263i | ||||
\(619\) | 12.3649 | − | 3.63066i | 0.496986 | − | 0.145928i | −0.0236271 | − | 0.999721i | \(-0.507521\pi\) |
0.520613 | + | 0.853792i | \(0.325703\pi\) | |||||||
\(620\) | 0.652796 | 0.0262169 | ||||||||
\(621\) | −4.50000 | − | 1.65831i | −0.180579 | − | 0.0665458i | ||||
\(622\) | −10.7400 | −0.430636 | ||||||||
\(623\) | 33.9827 | − | 9.97821i | 1.36149 | − | 0.399768i | ||||
\(624\) | 3.08427 | + | 3.55944i | 0.123470 | + | 0.142492i | ||||
\(625\) | 16.3071 | − | 10.4799i | 0.652284 | − | 0.419197i | ||||
\(626\) | −3.79837 | − | 26.4182i | −0.151813 | − | 1.05588i | ||||
\(627\) | 2.85668 | + | 1.83587i | 0.114085 | + | 0.0733178i | ||||
\(628\) | 3.36890 | − | 7.37686i | 0.134434 | − | 0.294369i | ||||
\(629\) | 14.9508 | − | 17.2542i | 0.596129 | − | 0.687970i | ||||
\(630\) | −1.57450 | + | 10.9509i | −0.0627297 | + | 0.436295i | ||||
\(631\) | 8.90725 | + | 19.5041i | 0.354592 | + | 0.776448i | 0.999921 | + | 0.0125435i | \(0.00399282\pi\) |
−0.645329 | + | 0.763904i | \(0.723280\pi\) | |||||||
\(632\) | −11.2112 | − | 3.29192i | −0.445959 | − | 0.130945i | ||||
\(633\) | −23.4284 | − | 6.87919i | −0.931193 | − | 0.273423i | ||||
\(634\) | 7.96824 | + | 17.4480i | 0.316459 | + | 0.692949i | ||||
\(635\) | 4.12824 | − | 28.7125i | 0.163824 | − | 1.13942i | ||||
\(636\) | −6.75016 | + | 7.79010i | −0.267661 | + | 0.308897i | ||||
\(637\) | 2.68949 | − | 5.88915i | 0.106561 | − | 0.233337i | ||||
\(638\) | 0.782433 | + | 0.502839i | 0.0309768 | + | 0.0199076i | ||||
\(639\) | 1.68239 | + | 11.7013i | 0.0665543 | + | 0.462895i | ||||
\(640\) | 3.21616 | − | 2.06690i | 0.127130 | − | 0.0817015i | ||||
\(641\) | −20.1426 | − | 23.2459i | −0.795587 | − | 0.918156i | 0.202544 | − | 0.979273i | \(-0.435079\pi\) |
−0.998131 | + | 0.0611172i | \(0.980534\pi\) | |||||||
\(642\) | 10.3303 | − | 3.03326i | 0.407706 | − | 0.119713i | ||||
\(643\) | 28.7980 | 1.13568 | 0.567842 | − | 0.823138i | \(-0.307778\pi\) | ||||
0.567842 | + | 0.823138i | \(0.307778\pi\) | |||||||
\(644\) | 9.77506 | − | 9.85214i | 0.385191 | − | 0.388229i | ||||
\(645\) | −46.9016 | −1.84675 | ||||||||
\(646\) | 9.76603 | − | 2.86757i | 0.384239 | − | 0.112823i | ||||
\(647\) | 13.6600 | + | 15.7645i | 0.537031 | + | 0.619767i | 0.957812 | − | 0.287395i | \(-0.0927893\pi\) |
−0.420781 | + | 0.907162i | \(0.638244\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | −0.428017 | − | 2.97692i | −0.0168011 | − | 0.116854i | ||||
\(650\) | 38.0991 | + | 24.4848i | 1.49437 | + | 0.960373i | ||||
\(651\) | −0.205273 | + | 0.449485i | −0.00804528 | + | 0.0176167i | ||||
\(652\) | 15.1115 | − | 17.4396i | 0.591813 | − | 0.682989i | ||||
\(653\) | −3.78327 | + | 26.3132i | −0.148051 | + | 1.02972i | 0.771355 | + | 0.636406i | \(0.219580\pi\) |
−0.919405 | + | 0.393311i | \(0.871330\pi\) | |||||||
\(654\) | 3.45358 | + | 7.56229i | 0.135046 | + | 0.295709i | ||||
\(655\) | −65.3253 | − | 19.1812i | −2.55247 | − | 0.749473i | ||||
\(656\) | 9.97609 | + | 2.92924i | 0.389501 | + | 0.114368i | ||||
\(657\) | −5.48910 | − | 12.0195i | −0.214150 | − | 0.468924i | ||||
\(658\) | −2.24669 | + | 15.6261i | −0.0875852 | + | 0.609169i | ||||
\(659\) | 17.9541 | − | 20.7202i | 0.699394 | − | 0.807144i | −0.289276 | − | 0.957246i | \(-0.593415\pi\) |
0.988671 | + | 0.150102i | \(0.0479601\pi\) | |||||||
\(660\) | 2.51031 | − | 5.49682i | 0.0977138 | − | 0.213963i | ||||
\(661\) | 6.84724 | + | 4.40046i | 0.266327 | + | 0.171158i | 0.666988 | − | 0.745068i | \(-0.267583\pi\) |
−0.400661 | + | 0.916226i | \(0.631220\pi\) | |||||||
\(662\) | −1.24393 | − | 8.65169i | −0.0483465 | − | 0.336257i | ||||
\(663\) | 18.7718 | − | 12.0639i | 0.729038 | − | 0.468524i | ||||
\(664\) | 0.0741615 | + | 0.0855869i | 0.00287802 | + | 0.00332142i | ||||
\(665\) | −22.8053 | + | 6.69623i | −0.884350 | + | 0.259669i | ||||
\(666\) | 4.81881 | 0.186725 | ||||||||
\(667\) | −0.212368 | − | 2.81395i | −0.00822292 | − | 0.108957i | ||||
\(668\) | −5.28482 | −0.204476 | ||||||||
\(669\) | 14.5834 | − | 4.28209i | 0.563829 | − | 0.165555i | ||||
\(670\) | −14.7112 | − | 16.9776i | −0.568343 | − | 0.655903i | ||||
\(671\) | 16.8269 | − | 10.8140i | 0.649597 | − | 0.417471i | ||||
\(672\) | 0.411844 | + | 2.86444i | 0.0158872 | + | 0.110498i | ||||
\(673\) | 26.0896 | + | 16.7667i | 1.00568 | + | 0.646310i | 0.936271 | − | 0.351278i | \(-0.114253\pi\) |
0.0694072 | + | 0.997588i | \(0.477889\pi\) | |||||||
\(674\) | −1.35173 | + | 2.95989i | −0.0520669 | + | 0.114011i | ||||
\(675\) | 6.29699 | − | 7.26712i | 0.242371 | − | 0.279712i | ||||
\(676\) | −1.30678 | + | 9.08886i | −0.0502608 | + | 0.349571i | ||||
\(677\) | −8.47632 | − | 18.5606i | −0.325772 | − | 0.713340i | 0.673904 | − | 0.738819i | \(-0.264616\pi\) |
−0.999675 | + | 0.0254788i | \(0.991889\pi\) | |||||||
\(678\) | 7.20846 | + | 2.11660i | 0.276839 | + | 0.0812874i | ||||
\(679\) | −2.42553 | − | 0.712199i | −0.0930831 | − | 0.0273317i | ||||
\(680\) | −7.52436 | − | 16.4761i | −0.288546 | − | 0.631828i | ||||
\(681\) | 1.84048 | − | 12.8008i | 0.0705274 | − | 0.490529i | ||||
\(682\) | 0.176746 | − | 0.203976i | 0.00676797 | − | 0.00781065i | ||||
\(683\) | 8.63468 | − | 18.9073i | 0.330397 | − | 0.723468i | −0.669414 | − | 0.742889i | \(-0.733455\pi\) |
0.999811 | + | 0.0194207i | \(0.00618219\pi\) | |||||||
\(684\) | 1.80728 | + | 1.16147i | 0.0691032 | + | 0.0444100i | ||||
\(685\) | 0.415114 | + | 2.88718i | 0.0158607 | + | 0.110314i | ||||
\(686\) | −13.6950 | + | 8.80122i | −0.522876 | + | 0.336032i | ||||
\(687\) | −0.621137 | − | 0.716830i | −0.0236978 | − | 0.0273488i | ||||
\(688\) | −11.7711 | + | 3.45632i | −0.448770 | + | 0.131771i | ||||
\(689\) | −48.5477 | −1.84952 | ||||||||
\(690\) | −17.9003 | + | 3.96766i | −0.681453 | + | 0.151046i | ||||
\(691\) | −13.6695 | −0.520012 | −0.260006 | − | 0.965607i | \(-0.583725\pi\) | ||||
−0.260006 | + | 0.965607i | \(0.583725\pi\) | |||||||
\(692\) | −13.8077 | + | 4.05430i | −0.524890 | + | 0.154121i | ||||
\(693\) | 2.99548 | + | 3.45697i | 0.113789 | + | 0.131319i | ||||
\(694\) | −4.38443 | + | 2.81770i | −0.166431 | + | 0.106959i | ||||
\(695\) | −5.01973 | − | 34.9130i | −0.190409 | − | 1.32432i | ||||
\(696\) | 0.495008 | + | 0.318122i | 0.0187632 | + | 0.0120584i | ||||
\(697\) | 20.4634 | − | 44.8085i | 0.775106 | − | 1.69724i | ||||
\(698\) | −10.1327 | + | 11.6938i | −0.383529 | + | 0.442616i | ||||
\(699\) | 1.98504 | − | 13.8062i | 0.0750810 | − | 0.522200i | ||||
\(700\) | 11.5598 | + | 25.3124i | 0.436918 | + | 0.956718i | ||||
\(701\) | 2.12031 | + | 0.622581i | 0.0800832 | + | 0.0235145i | 0.321529 | − | 0.946900i | \(-0.395803\pi\) |
−0.241446 | + | 0.970414i | \(0.577622\pi\) | |||||||
\(702\) | 4.51903 | + | 1.32691i | 0.170560 | + | 0.0500809i | ||||
\(703\) | 4.30053 | + | 9.41685i | 0.162198 | + | 0.355163i | ||||
\(704\) | 0.224949 | − | 1.56456i | 0.00847810 | − | 0.0589665i | ||||
\(705\) | 13.6575 | − | 15.7616i | 0.514371 | − | 0.593615i | ||||
\(706\) | −0.671574 | + | 1.47054i | −0.0252750 | + | 0.0553446i | ||||
\(707\) | −26.5611 | − | 17.0698i | −0.998932 | − | 0.641975i | ||||
\(708\) | −0.270786 | − | 1.88336i | −0.0101768 | − | 0.0707809i | ||||
\(709\) | −15.7884 | + | 10.1466i | −0.592946 | + | 0.381063i | −0.802428 | − | 0.596749i | \(-0.796459\pi\) |
0.209482 | + | 0.977813i | \(0.432822\pi\) | |||||||
\(710\) | 29.5962 | + | 34.1559i | 1.11073 | + | 1.28185i | ||||
\(711\) | −11.2112 | + | 3.29192i | −0.420454 | + | 0.123456i | ||||
\(712\) | −12.2386 | −0.458662 | ||||||||
\(713\) | −0.817036 | − | 0.0552115i | −0.0305982 | − | 0.00206769i | ||||
\(714\) | 13.7107 | 0.513110 | ||||||||
\(715\) | 27.3081 | − | 8.01837i | 1.02126 | − | 0.299870i | ||||
\(716\) | −7.33448 | − | 8.46445i | −0.274103 | − | 0.316331i | ||||
\(717\) | 2.05543 | − | 1.32094i | 0.0767614 | − | 0.0493316i | ||||
\(718\) | −1.92950 | − | 13.4199i | −0.0720082 | − | 0.500828i | ||||
\(719\) | 17.3887 | + | 11.1751i | 0.648490 | + | 0.416759i | 0.823114 | − | 0.567876i | \(-0.192235\pi\) |
−0.174624 | + | 0.984635i | \(0.555871\pi\) | |||||||
\(720\) | 1.58816 | − | 3.47758i | 0.0591871 | − | 0.129602i | ||||
\(721\) | −6.99820 | + | 8.07636i | −0.260627 | + | 0.300779i | ||||
\(722\) | 2.04716 | − | 14.2383i | 0.0761873 | − | 0.529894i | ||||
\(723\) | −4.51289 | − | 9.88185i | −0.167836 | − | 0.367510i | ||||
\(724\) | −8.43843 | − | 2.47775i | −0.313612 | − | 0.0920847i | ||||
\(725\) | 5.42890 | + | 1.59407i | 0.201624 | + | 0.0592022i | ||||
\(726\) | 3.53167 | + | 7.73329i | 0.131073 | + | 0.287009i | ||||
\(727\) | 4.48938 | − | 31.2244i | 0.166502 | − | 1.15805i | −0.719543 | − | 0.694448i | \(-0.755649\pi\) |
0.886045 | − | 0.463599i | \(-0.153442\pi\) | |||||||
\(728\) | −8.92555 | + | 10.3006i | −0.330803 | + | 0.381767i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −42.4969 | − | 27.3111i | −1.57288 | − | 1.01083i | ||||
\(731\) | 8.27187 | + | 57.5321i | 0.305946 | + | 2.12790i | ||||
\(732\) | 10.6456 | − | 6.84152i | 0.393473 | − | 0.252870i | ||||
\(733\) | 15.9963 | + | 18.4607i | 0.590836 | + | 0.681861i | 0.969898 | − | 0.243510i | \(-0.0782988\pi\) |
−0.379062 | + | 0.925371i | \(0.623753\pi\) | |||||||
\(734\) | −15.6143 | + | 4.58476i | −0.576333 | + | 0.169227i | ||||
\(735\) | −5.25527 | −0.193843 | ||||||||
\(736\) | −4.20014 | + | 2.31491i | −0.154819 | + | 0.0853287i | ||||
\(737\) | −9.28801 | −0.342128 | ||||||||
\(738\) | 9.97609 | − | 2.92924i | 0.367225 | − | 0.107827i | ||||
\(739\) | 27.6042 | + | 31.8570i | 1.01544 | + | 1.17188i | 0.985038 | + | 0.172340i | \(0.0551326\pi\) |
0.0304000 | + | 0.999538i | \(0.490322\pi\) | |||||||
\(740\) | 15.4981 | − | 9.96001i | 0.569721 | − | 0.366137i | ||||
\(741\) | 1.43997 | + | 10.0152i | 0.0528986 | + | 0.367918i | ||||
\(742\) | −25.0943 | − | 16.1271i | −0.921240 | − | 0.592045i | ||||
\(743\) | 1.24173 | − | 2.71901i | 0.0455546 | − | 0.0997507i | −0.885486 | − | 0.464665i | \(-0.846175\pi\) |
0.931041 | + | 0.364915i | \(0.118902\pi\) | |||||||
\(744\) | 0.111819 | − | 0.129046i | 0.00409948 | − | 0.00473106i | ||||
\(745\) | −10.0606 | + | 69.9729i | −0.368592 | + | 2.56361i | ||||
\(746\) | 2.89747 | + | 6.34458i | 0.106084 | + | 0.232292i | ||||
\(747\) | 0.108660 | + | 0.0319056i | 0.00397568 | + | 0.00116736i | ||||
\(748\) | −7.18544 | − | 2.10983i | −0.262726 | − | 0.0771432i | ||||
\(749\) | 12.9431 | + | 28.3414i | 0.472930 | + | 1.03557i | ||||
\(750\) | 2.51134 | − | 17.4668i | 0.0917013 | − | 0.637796i | ||||
\(751\) | −25.6872 | + | 29.6446i | −0.937338 | + | 1.08175i | 0.0591703 | + | 0.998248i | \(0.481155\pi\) |
−0.996508 | + | 0.0834975i | \(0.973391\pi\) | |||||||
\(752\) | 2.26617 | − | 4.96223i | 0.0826388 | − | 0.180954i | ||||
\(753\) | 12.0477 | + | 7.74258i | 0.439042 | + | 0.282155i | ||||
\(754\) | 0.394402 | + | 2.74313i | 0.0143633 | + | 0.0998988i | ||||
\(755\) | −3.19007 | + | 2.05013i | −0.116099 | + | 0.0746120i | ||||
\(756\) | 1.89510 | + | 2.18706i | 0.0689240 | + | 0.0795426i | ||||
\(757\) | 45.5285 | − | 13.3684i | 1.65476 | − | 0.485882i | 0.684718 | − | 0.728808i | \(-0.259926\pi\) |
0.970045 | + | 0.242926i | \(0.0781074\pi\) | |||||||
\(758\) | 16.5116 | 0.599728 | ||||||||
\(759\) | −3.60680 | + | 6.66747i | −0.130918 | + | 0.242014i | ||||
\(760\) | 8.21316 | 0.297923 | ||||||||
\(761\) | 29.5001 | − | 8.66200i | 1.06938 | − | 0.313997i | 0.300755 | − | 0.953701i | \(-0.402761\pi\) |
0.768621 | + | 0.639704i | \(0.220943\pi\) | |||||||
\(762\) | −4.96881 | − | 5.73431i | −0.180001 | − | 0.207732i | ||||
\(763\) | −20.2394 | + | 13.0071i | −0.732715 | + | 0.470887i | ||||
\(764\) | 0.901138 | + | 6.26755i | 0.0326020 | + | 0.226752i | ||||
\(765\) | −15.2375 | − | 9.79257i | −0.550914 | − | 0.354051i | ||||
\(766\) | −9.30027 | + | 20.3647i | −0.336032 | + | 0.735808i | ||||
\(767\) | 5.86852 | − | 6.77263i | 0.211900 | − | 0.244546i | ||||
\(768\) | 0.142315 | − | 0.989821i | 0.00513534 | − | 0.0357171i | ||||
\(769\) | −13.4905 | − | 29.5400i | −0.486479 | − | 1.06524i | −0.980631 | − | 0.195864i | \(-0.937249\pi\) |
0.494153 | − | 0.869375i | \(-0.335478\pi\) | |||||||
\(770\) | 16.7792 | + | 4.92680i | 0.604679 | + | 0.177550i | ||||
\(771\) | −4.07237 | − | 1.19576i | −0.146663 | − | 0.0430641i | ||||
\(772\) | −1.27692 | − | 2.79607i | −0.0459575 | − | 0.100633i | ||||
\(773\) | −1.76947 | + | 12.3070i | −0.0636435 | + | 0.442650i | 0.932938 | + | 0.360037i | \(0.117236\pi\) |
−0.996582 | + | 0.0826137i | \(0.973673\pi\) | |||||||
\(774\) | −8.03389 | + | 9.27160i | −0.288772 | + | 0.333261i | ||||
\(775\) | 0.682077 | − | 1.49354i | 0.0245009 | − | 0.0536495i | ||||
\(776\) | 0.734866 | + | 0.472270i | 0.0263802 | + | 0.0169535i | ||||
\(777\) | 1.98460 | + | 13.8032i | 0.0711971 | + | 0.495187i | ||||
\(778\) | −6.34496 | + | 4.07766i | −0.227478 | + | 0.146191i | ||||
\(779\) | 14.6274 | + | 16.8809i | 0.524081 | + | 0.604821i | ||||
\(780\) | 17.2765 | − | 5.07284i | 0.618599 | − | 0.181637i | ||||
\(781\) | 18.6858 | 0.668629 | ||||||||
\(782\) | 8.02396 | + | 21.2577i | 0.286936 | + | 0.760175i | ||||
\(783\) | 0.588417 | 0.0210283 | ||||||||
\(784\) | −1.31894 | + | 0.387276i | −0.0471051 | + | 0.0138313i | ||||
\(785\) | −20.3033 | − | 23.4312i | −0.724654 | − | 0.836296i | ||||
\(786\) | −14.9815 | + | 9.62803i | −0.534372 | + | 0.343420i | ||||
\(787\) | 0.584258 | + | 4.06361i | 0.0208266 | + | 0.144852i | 0.997581 | − | 0.0695074i | \(-0.0221428\pi\) |
−0.976755 | + | 0.214359i | \(0.931234\pi\) | |||||||
\(788\) | −0.810476 | − | 0.520862i | −0.0288720 | − | 0.0185549i | ||||
\(789\) | 2.95101 | − | 6.46180i | 0.105059 | − | 0.230046i | ||||
\(790\) | −29.2531 | + | 33.7598i | −1.04078 | + | 1.20112i | ||||
\(791\) | −3.09410 | + | 21.5199i | −0.110013 | + | 0.765160i | ||||
\(792\) | −0.656624 | − | 1.43781i | −0.0233321 | − | 0.0510902i | ||||
\(793\) | 57.1859 | + | 16.7913i | 2.03073 | + | 0.596277i | ||||
\(794\) | −27.5932 | − | 8.10211i | −0.979248 | − | 0.287533i | ||||
\(795\) | 16.3704 | + | 35.8461i | 0.580597 | + | 1.27133i | ||||
\(796\) | −0.465837 | + | 3.23997i | −0.0165111 | + | 0.114838i | ||||
\(797\) | 25.2895 | − | 29.1857i | 0.895801 | − | 1.03381i | −0.103432 | − | 0.994637i | \(-0.532982\pi\) |
0.999232 | − | 0.0391727i | \(-0.0124722\pi\) | |||||||
\(798\) | −2.58264 | + | 5.65520i | −0.0914246 | + | 0.200192i | ||||
\(799\) | −21.7428 | − | 13.9732i | −0.769203 | − | 0.494337i | ||||
\(800\) | −1.36847 | − | 9.51790i | −0.0483826 | − | 0.336509i | ||||
\(801\) | −10.2958 | + | 6.61670i | −0.363784 | + | 0.233790i | ||||
\(802\) | −4.46331 | − | 5.15093i | −0.157605 | − | 0.181886i | ||||
\(803\) | −20.0399 | + | 5.88425i | −0.707193 | + | 0.207651i | ||||
\(804\) | −5.87608 | −0.207233 | ||||||||
\(805\) | −18.7372 | − | 49.6402i | −0.660401 | − | 1.74959i | ||||
\(806\) | 0.804211 | 0.0283271 | ||||||||
\(807\) | −7.41913 | + | 2.17845i | −0.261166 | + | 0.0766852i | ||||
\(808\) | 7.14472 | + | 8.24544i | 0.251350 | + | 0.290074i | ||||
\(809\) | 30.9861 | − | 19.9136i | 1.08941 | − | 0.700123i | 0.132700 | − | 0.991156i | \(-0.457635\pi\) |
0.956713 | + | 0.291033i | \(0.0939989\pi\) | |||||||
\(810\) | −0.544078 | − | 3.78415i | −0.0191170 | − | 0.132961i | ||||
\(811\) | −37.6052 | − | 24.1674i | −1.32050 | − | 0.848631i | −0.325212 | − | 0.945641i | \(-0.605436\pi\) |
−0.995283 | + | 0.0970099i | \(0.969072\pi\) | |||||||
\(812\) | −0.707376 | + | 1.54894i | −0.0248240 | + | 0.0543571i | ||||
\(813\) | −3.32707 | + | 3.83965i | −0.116686 | + | 0.134662i | ||||
\(814\) | 1.08399 | − | 7.53931i | 0.0379938 | − | 0.264253i | ||||
\(815\) | −36.6482 | − | 80.2484i | −1.28373 | − | 2.81098i | ||||
\(816\) | −4.54589 | − | 1.33479i | −0.159138 | − | 0.0467271i | ||||
\(817\) | −25.2882 | − | 7.42529i | −0.884722 | − | 0.259778i | ||||
\(818\) | −11.5463 | − | 25.2829i | −0.403708 | − | 0.883996i | ||||
\(819\) | −1.93971 | + | 13.4910i | −0.0677789 | + | 0.471412i | ||||
\(820\) | 26.0302 | − | 30.0405i | 0.909016 | − | 1.04906i | ||||
\(821\) | 15.4538 | − | 33.8391i | 0.539341 | − | 1.18099i | −0.422244 | − | 0.906482i | \(-0.638757\pi\) |
0.961584 | − | 0.274509i | \(-0.0885154\pi\) | |||||||
\(822\) | 0.641849 | + | 0.412491i | 0.0223871 | + | 0.0143873i | ||||
\(823\) | −5.84078 | − | 40.6235i | −0.203597 | − | 1.41605i | −0.793498 | − | 0.608572i | \(-0.791743\pi\) |
0.589902 | − | 0.807475i | \(-0.299167\pi\) | |||||||
\(824\) | 3.10657 | − | 1.99647i | 0.108223 | − | 0.0695505i | ||||
\(825\) | −9.95332 | − | 11.4867i | −0.346530 | − | 0.399917i | ||||
\(826\) | 5.28324 | − | 1.55130i | 0.183827 | − | 0.0539766i | ||||
\(827\) | 6.42848 | 0.223540 | 0.111770 | − | 0.993734i | \(-0.464348\pi\) | ||||
0.111770 | + | 0.993734i | \(0.464348\pi\) | |||||||
\(828\) | −2.28185 | + | 4.21819i | −0.0792998 | + | 0.146592i | ||||
\(829\) | 15.8721 | 0.551262 | 0.275631 | − | 0.961264i | \(-0.411113\pi\) | ||||
0.275631 | + | 0.961264i | \(0.411113\pi\) | |||||||
\(830\) | 0.415415 | − | 0.121977i | 0.0144193 | − | 0.00423388i | ||||
\(831\) | −10.0789 | − | 11.6317i | −0.349634 | − | 0.403499i | ||||
\(832\) | 3.96215 | − | 2.54632i | 0.137363 | − | 0.0882776i | ||||
\(833\) | 0.926852 | + | 6.44640i | 0.0321135 | + | 0.223355i | ||||
\(834\) | −7.76151 | − | 4.98802i | −0.268759 | − | 0.172721i | ||||
\(835\) | −8.39313 | + | 18.3784i | −0.290456 | + | 0.636010i | ||||
\(836\) | 2.22374 | − | 2.56633i | 0.0769095 | − | 0.0887583i | ||||
\(837\) | 0.0243006 | − | 0.169014i | 0.000839951 | − | 0.00584199i | ||||
\(838\) | −6.29007 | − | 13.7733i | −0.217287 | − | 0.475792i | ||||
\(839\) | −10.0042 | − | 2.93748i | −0.345382 | − | 0.101413i | 0.104441 | − | 0.994531i | \(-0.466695\pi\) |
−0.449823 | + | 0.893118i | \(0.648513\pi\) | |||||||
\(840\) | 10.6154 | + | 3.11696i | 0.366265 | + | 0.107545i | ||||
\(841\) | −11.9032 | − | 26.0644i | −0.410455 | − | 0.898772i | ||||
\(842\) | −5.42852 | + | 37.7562i | −0.187079 | + | 1.30117i | ||||
\(843\) | −2.16076 | + | 2.49365i | −0.0744206 | + | 0.0858860i | ||||
\(844\) | −10.1434 | + | 22.2109i | −0.349149 | + | 0.764530i | ||||
\(845\) | 29.5318 | + | 18.9789i | 1.01593 | + | 0.652896i | ||||
\(846\) | −0.776356 | − | 5.39968i | −0.0266917 | − | 0.185645i | ||||
\(847\) | −20.6970 | + | 13.3012i | −0.711158 | + | 0.457034i | ||||
\(848\) | 6.75016 | + | 7.79010i | 0.231801 | + | 0.267513i | ||||
\(849\) | −24.8342 | + | 7.29197i | −0.852307 | + | 0.250260i | ||||
\(850\) | −45.5576 | −1.56261 | ||||||||
\(851\) | −20.2397 | + | 11.1551i | −0.693808 | + | 0.382392i | ||||
\(852\) | 11.8216 | 0.405001 | ||||||||
\(853\) | −25.2284 | + | 7.40772i | −0.863803 | + | 0.253636i | −0.683478 | − | 0.729971i | \(-0.739533\pi\) |
−0.180326 | + | 0.983607i | \(0.557715\pi\) | |||||||
\(854\) | 23.9815 | + | 27.6761i | 0.820628 | + | 0.947056i | ||||
\(855\) | 6.90935 | − | 4.44037i | 0.236295 | − | 0.151858i | ||||
\(856\) | −1.53223 | − | 10.6569i | −0.0523704 | − | 0.364244i | ||||
\(857\) | 27.2849 | + | 17.5349i | 0.932033 | + | 0.598981i | 0.916125 | − | 0.400892i | \(-0.131300\pi\) |
0.0159081 | + | 0.999873i | \(0.494936\pi\) | |||||||
\(858\) | 3.09258 | − | 6.77180i | 0.105579 | − | 0.231185i | ||||
\(859\) | 36.1249 | − | 41.6904i | 1.23257 | − | 1.42246i | 0.360724 | − | 0.932673i | \(-0.382530\pi\) |
0.871843 | − | 0.489785i | \(-0.162925\pi\) | |||||||
\(860\) | −6.67479 | + | 46.4242i | −0.227609 | + | 1.58305i | ||||
\(861\) | 12.4992 | + | 27.3695i | 0.425973 | + | 0.932750i | ||||
\(862\) | −9.80006 | − | 2.87756i | −0.333791 | − | 0.0980100i | ||||
\(863\) | −17.4765 | − | 5.13157i | −0.594908 | − | 0.174681i | −0.0296015 | − | 0.999562i | \(-0.509424\pi\) |
−0.565306 | + | 0.824881i | \(0.691242\pi\) | |||||||
\(864\) | −0.415415 | − | 0.909632i | −0.0141327 | − | 0.0309463i | ||||
\(865\) | −7.82961 | + | 54.4562i | −0.266215 | + | 1.85156i | ||||
\(866\) | 6.43251 | − | 7.42351i | 0.218585 | − | 0.252261i | ||||
\(867\) | −2.26266 | + | 4.95453i | −0.0768440 | + | 0.168265i | ||||
\(868\) | 0.415696 | + | 0.267152i | 0.0141097 | + | 0.00906773i | ||||
\(869\) | 2.62843 | + | 18.2811i | 0.0891634 | + | 0.620145i | ||||
\(870\) | 1.89245 | − | 1.21620i | 0.0641599 | − | 0.0412331i | ||||
\(871\) | −18.1234 | − | 20.9156i | −0.614089 | − | 0.708696i | ||||
\(872\) | 7.97681 | − | 2.34220i | 0.270129 | − | 0.0793170i | ||||
\(873\) | 0.873537 | 0.0295648 | ||||||||
\(874\) | −10.2796 | − | 0.694644i | −0.347711 | − | 0.0234967i | ||||
\(875\) | 51.0668 | 1.72637 | ||||||||
\(876\) | −12.6783 | + | 3.72268i | −0.428360 | + | 0.125778i | ||||
\(877\) | 18.8581 | + | 21.7634i | 0.636791 | + | 0.734896i | 0.978804 | − | 0.204799i | \(-0.0656541\pi\) |
−0.342013 | + | 0.939695i | \(0.611109\pi\) | |||||||
\(878\) | −6.55842 | + | 4.21484i | −0.221336 | + | 0.142244i | ||||
\(879\) | 0.928701 | + | 6.45925i | 0.0313243 | + | 0.217865i | ||||
\(880\) | −5.08361 | − | 3.26704i | −0.171369 | − | 0.110132i | ||||
\(881\) | −8.74991 | + | 19.1596i | −0.294792 | + | 0.645505i | −0.997844 | − | 0.0656341i | \(-0.979093\pi\) |
0.703052 | + | 0.711139i | \(0.251820\pi\) | |||||||
\(882\) | −0.900187 | + | 1.03887i | −0.0303109 | + | 0.0349806i | ||||
\(883\) | 2.01508 | − | 14.0152i | 0.0678127 | − | 0.471648i | −0.927412 | − | 0.374041i | \(-0.877972\pi\) |
0.995225 | − | 0.0976071i | \(-0.0311188\pi\) | |||||||
\(884\) | −9.26963 | − | 20.2977i | −0.311771 | − | 0.682684i | ||||
\(885\) | −6.97957 | − | 2.04939i | −0.234616 | − | 0.0688894i | ||||
\(886\) | 27.0777 | + | 7.95073i | 0.909693 | + | 0.267110i | ||||
\(887\) | 23.8989 | + | 52.3313i | 0.802446 | + | 1.75711i | 0.636954 | + | 0.770901i | \(0.280194\pi\) |
0.165492 | + | 0.986211i | \(0.447079\pi\) | |||||||
\(888\) | 0.685789 | − | 4.76977i | 0.0230136 | − | 0.160063i | ||||
\(889\) | 14.3792 | − | 16.5945i | 0.482263 | − | 0.556561i | ||||
\(890\) | −19.4369 | + | 42.5608i | −0.651525 | + | 1.42664i | ||||
\(891\) | −1.32972 | − | 0.854562i | −0.0445474 | − | 0.0286289i | ||||
\(892\) | −2.16306 | − | 15.0444i | −0.0724246 | − | 0.503724i | ||||
\(893\) | 9.85910 | − | 6.33606i | 0.329922 | − | 0.212028i | ||||
\(894\) | 12.1091 | + | 13.9746i | 0.404988 | + | 0.467381i | ||||
\(895\) | −41.0841 | + | 12.0634i | −1.37329 | + | 0.403234i | ||||
\(896\) | 2.89389 | 0.0966782 | ||||||||
\(897\) | −22.0522 | + | 4.88795i | −0.736303 | + | 0.163204i | ||||
\(898\) | −12.7574 | −0.425721 | ||||||||
\(899\) | 0.0964038 | − | 0.0283067i | 0.00321525 | − | 0.000944081i | ||||
\(900\) | −6.29699 | − | 7.26712i | −0.209900 | − | 0.242237i | ||||
\(901\) | 41.0836 | − | 26.4028i | 1.36869 | − | 0.879606i | ||||
\(902\) | −2.33885 | − | 16.2671i | −0.0778753 | − | 0.541635i | ||||
\(903\) | −29.8666 | − | 19.1941i | −0.993899 | − | 0.638740i | ||||
\(904\) | 3.12092 | − | 6.83387i | 0.103800 | − | 0.227291i | ||||
\(905\) | −22.0181 | + | 25.4102i | −0.731906 | + | 0.844665i | ||||
\(906\) | −0.141160 | + | 0.981791i | −0.00468974 | + | 0.0326178i | ||||
\(907\) | 18.7643 | + | 41.0880i | 0.623057 | + | 1.36430i | 0.913275 | + | 0.407344i | \(0.133545\pi\) |
−0.290218 | + | 0.956961i | \(0.593728\pi\) | |||||||
\(908\) | −12.4086 | − | 3.64350i | −0.411794 | − | 0.120914i | ||||
\(909\) | 10.4683 | + | 3.07378i | 0.347213 | + | 0.101951i | ||||
\(910\) | 21.6461 | + | 47.3983i | 0.717561 | + | 1.57124i | ||||
\(911\) | −3.47784 | + | 24.1889i | −0.115226 | + | 0.801414i | 0.847473 | + | 0.530839i | \(0.178123\pi\) |
−0.962699 | + | 0.270576i | \(0.912786\pi\) | |||||||
\(912\) | 1.40685 | − | 1.62359i | 0.0465855 | − | 0.0537626i | ||||
\(913\) | 0.0743612 | − | 0.162828i | 0.00246100 | − | 0.00538883i | ||||
\(914\) | 7.88287 | + | 5.06601i | 0.260742 | + | 0.167569i | ||||
\(915\) | −6.88502 | − | 47.8863i | −0.227612 | − | 1.58307i | ||||
\(916\) | −0.797930 | + | 0.512799i | −0.0263644 | + | 0.0169433i | ||||
\(917\) | −33.7489 | − | 38.9483i | −1.11449 | − | 1.28619i | ||||
\(918\) | −4.54589 | + | 1.33479i | −0.150037 | + | 0.0440547i | ||||
\(919\) | −1.40194 | −0.0462457 | −0.0231229 | − | 0.999733i | \(-0.507361\pi\) | ||||
−0.0231229 | + | 0.999733i | \(0.507361\pi\) | |||||||
\(920\) | 1.37979 | + | 18.2828i | 0.0454904 | + | 0.602764i | ||||
\(921\) | −4.61726 | −0.152144 | ||||||||
\(922\) | 11.1847 | − | 3.28413i | 0.368349 | − | 0.108157i | ||||
\(923\) | 36.4610 | + | 42.0783i | 1.20013 | + | 1.38502i | ||||
\(924\) | 3.84808 | − | 2.47301i | 0.126593 | − | 0.0813561i | ||||
\(925\) | −6.59439 | − | 45.8650i | −0.216822 | − | 1.50803i | ||||
\(926\) | 11.4645 | + | 7.36778i | 0.376747 | + | 0.242120i | ||||
\(927\) | 1.53404 | − | 3.35908i | 0.0503845 | − | 0.110327i | ||||
\(928\) | 0.385331 | − | 0.444696i | 0.0126491 | − | 0.0145979i | ||||
\(929\) | 1.24366 | − | 8.64984i | 0.0408031 | − | 0.283792i | −0.959196 | − | 0.282741i | \(-0.908756\pi\) |
0.999999 | − | 0.00105110i | \(-0.000334576\pi\) | |||||||
\(930\) | −0.271181 | − | 0.593804i | −0.00889239 | − | 0.0194716i | ||||
\(931\) | −2.83351 | − | 0.831994i | −0.0928646 | − | 0.0272675i | ||||
\(932\) | −13.3832 | − | 3.92967i | −0.438382 | − | 0.128721i | ||||
\(933\) | 4.46157 | + | 9.76947i | 0.146065 | + | 0.319838i | ||||
\(934\) | −0.936004 | + | 6.51005i | −0.0306270 | + | 0.213015i | ||||
\(935\) | −18.7487 | + | 21.6372i | −0.613148 | + | 0.707611i | ||||
\(936\) | 1.95653 | − | 4.28419i | 0.0639511 | − | 0.140033i | ||||
\(937\) | 6.69009 | + | 4.29946i | 0.218556 | + | 0.140457i | 0.645338 | − | 0.763897i | \(-0.276717\pi\) |
−0.426782 | + | 0.904354i | \(0.640353\pi\) | |||||||
\(938\) | −2.42003 | − | 16.8317i | −0.0790168 | − | 0.549574i | ||||
\(939\) | −22.4530 | + | 14.4296i | −0.732725 | + | 0.470894i | ||||
\(940\) | −13.6575 | − | 15.7616i | −0.445458 | − | 0.514086i | ||||
\(941\) | −19.8857 | + | 5.83896i | −0.648255 | + | 0.190345i | −0.589298 | − | 0.807916i | \(-0.700596\pi\) |
−0.0589567 | + | 0.998261i | \(0.518777\pi\) | |||||||
\(942\) | −8.10972 | −0.264229 | ||||||||
\(943\) | −35.1200 | + | 35.3970i | −1.14367 | + | 1.15268i | ||||
\(944\) | −1.90272 | −0.0619284 | ||||||||
\(945\) | 10.6154 | − | 3.11696i | 0.345318 | − | 0.101395i | ||||
\(946\) | 12.6987 | + | 14.6551i | 0.412871 | + | 0.476479i | ||||
\(947\) | 46.2003 | − | 29.6911i | 1.50131 | − | 0.964832i | 0.506590 | − | 0.862187i | \(-0.330906\pi\) |
0.994718 | − | 0.102645i | \(-0.0327306\pi\) | |||||||
\(948\) | 1.66288 | + | 11.5656i | 0.0540079 | + | 0.375633i | ||||
\(949\) | −52.3540 | − | 33.6458i | −1.69948 | − | 1.09219i | ||||
\(950\) | 8.58156 | − | 18.7910i | 0.278422 | − | 0.609660i | ||||
\(951\) | 12.5611 | − | 14.4963i | 0.407323 | − | 0.470076i | ||||
\(952\) | 1.95123 | − | 13.5711i | 0.0632399 | − | 0.439843i | ||||
\(953\) | 3.60974 | + | 7.90422i | 0.116931 | + | 0.256043i | 0.959044 | − | 0.283259i | \(-0.0914155\pi\) |
−0.842113 | + | 0.539302i | \(0.818688\pi\) | |||||||
\(954\) | 9.89024 | + | 2.90404i | 0.320208 | + | 0.0940217i | ||||
\(955\) | 23.2270 | + | 6.82007i | 0.751609 | + | 0.220692i | ||||
\(956\) | −1.01498 | − | 2.22250i | −0.0328268 | − | 0.0718807i | ||||
\(957\) | 0.132364 | − | 0.920613i | 0.00427873 | − | 0.0297592i | ||||
\(958\) | −6.05122 | + | 6.98348i | −0.195506 | + | 0.225626i | ||||
\(959\) | −0.917215 | + | 2.00842i | −0.0296184 | + | 0.0648553i | ||||
\(960\) | −3.21616 | − | 2.06690i | −0.103801 | − | 0.0667090i | ||||
\(961\) | 4.40761 | + | 30.6556i | 0.142181 | + | 0.988890i | ||||
\(962\) | 19.0928 | − | 12.2702i | 0.615578 | − | 0.395608i | ||||
\(963\) | −7.05053 | − | 8.13674i | −0.227200 | − | 0.262203i | ||||
\(964\) | −10.4235 | + | 3.06062i | −0.335719 | + | 0.0985760i | ||||
\(965\) | −11.7515 | −0.378295 | ||||||||
\(966\) | −13.0225 | − | 4.79898i | −0.418993 | − | 0.154405i | ||||
\(967\) | 39.3485 | 1.26536 | 0.632681 | − | 0.774412i | \(-0.281954\pi\) | ||||
0.632681 | + | 0.774412i | \(0.281954\pi\) | |||||||
\(968\) | 8.15719 | − | 2.39517i | 0.262182 | − | 0.0769835i | ||||
\(969\) | −6.66538 | − | 7.69226i | −0.214123 | − | 0.247111i | ||||
\(970\) | 2.80944 | − | 1.80552i | 0.0902056 | − | 0.0579716i | ||||
\(971\) | 2.29390 | + | 15.9545i | 0.0736149 | + | 0.512003i | 0.992951 | + | 0.118529i | \(0.0378178\pi\) |
−0.919336 | + | 0.393474i | \(0.871273\pi\) | |||||||
\(972\) | −0.841254 | − | 0.540641i | −0.0269832 | − | 0.0173411i | ||||
\(973\) | 11.0913 | − | 24.2866i | 0.355572 | − | 0.778594i | ||||
\(974\) | 24.9008 | − | 28.7371i | 0.797873 | − | 0.920795i | ||||
\(975\) | 6.44522 | − | 44.8275i | 0.206412 | − | 1.43563i | ||||
\(976\) | −5.25686 | − | 11.5109i | −0.168268 | − | 0.368455i | ||||
\(977\) | 34.1171 | + | 10.0177i | 1.09150 | + | 0.320494i | 0.777472 | − | 0.628918i | \(-0.216502\pi\) |
0.314032 | + | 0.949412i | \(0.398320\pi\) | |||||||
\(978\) | −22.1412 | − | 6.50124i | −0.707998 | − | 0.207887i | ||||
\(979\) | 8.03618 | + | 17.5968i | 0.256837 | + | 0.562395i | ||||
\(980\) | −0.747902 | + | 5.20177i | −0.0238909 | + | 0.166165i | ||||
\(981\) | 5.44423 | − | 6.28298i | 0.173821 | − | 0.200600i | ||||
\(982\) | −1.78074 | + | 3.89927i | −0.0568255 | + | 0.124431i | ||||
\(983\) | −45.9456 | − | 29.5274i | −1.46544 | − | 0.941779i | −0.998341 | − | 0.0575723i | \(-0.981664\pi\) |
−0.467096 | − | 0.884207i | \(-0.654700\pi\) | |||||||
\(984\) | −1.47968 | − | 10.2914i | −0.0471706 | − | 0.328078i | ||||
\(985\) | −3.09850 | + | 1.99128i | −0.0987264 | + | 0.0634476i | ||||
\(986\) | −1.82562 | − | 2.10688i | −0.0581397 | − | 0.0670968i | ||||
\(987\) | 15.1473 | − | 4.44765i | 0.482144 | − | 0.141570i | ||||
\(988\) | 10.1182 | 0.321903 | ||||||||
\(989\) | 12.2806 | − | 57.5397i | 0.390499 | − | 1.82966i | ||||
\(990\) | −6.04290 | −0.192056 | ||||||||
\(991\) | −25.7849 | + | 7.57113i | −0.819084 | + | 0.240505i | −0.664321 | − | 0.747447i | \(-0.731279\pi\) |
−0.154762 | + | 0.987952i | \(0.549461\pi\) | |||||||
\(992\) | −0.111819 | − | 0.129046i | −0.00355026 | − | 0.00409722i | ||||
\(993\) | −7.35311 | + | 4.72556i | −0.233344 | + | 0.149961i | ||||
\(994\) | 4.86866 | + | 33.8623i | 0.154424 | + | 1.07405i | ||||
\(995\) | 10.5274 | + | 6.76555i | 0.333741 | + | 0.214482i | ||||
\(996\) | 0.0470448 | − | 0.103014i | 0.00149067 | − | 0.00326412i | ||||
\(997\) | 17.6635 | − | 20.3847i | 0.559408 | − | 0.645591i | −0.403641 | − | 0.914917i | \(-0.632256\pi\) |
0.963049 | + | 0.269327i | \(0.0868011\pi\) | |||||||
\(998\) | 4.30920 | − | 29.9712i | 0.136405 | − | 0.948721i | ||||
\(999\) | −2.00181 | − | 4.38335i | −0.0633344 | − | 0.138683i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 138.2.e.b.55.1 | ✓ | 10 | |
3.2 | odd | 2 | 414.2.i.e.55.1 | 10 | |||
23.8 | even | 11 | 3174.2.a.ba.1.5 | 5 | |||
23.15 | odd | 22 | 3174.2.a.bb.1.1 | 5 | |||
23.18 | even | 11 | inner | 138.2.e.b.133.1 | yes | 10 | |
69.8 | odd | 22 | 9522.2.a.bs.1.1 | 5 | |||
69.38 | even | 22 | 9522.2.a.br.1.5 | 5 | |||
69.41 | odd | 22 | 414.2.i.e.271.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.b.55.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
138.2.e.b.133.1 | yes | 10 | 23.18 | even | 11 | inner | |
414.2.i.e.55.1 | 10 | 3.2 | odd | 2 | |||
414.2.i.e.271.1 | 10 | 69.41 | odd | 22 | |||
3174.2.a.ba.1.5 | 5 | 23.8 | even | 11 | |||
3174.2.a.bb.1.1 | 5 | 23.15 | odd | 22 | |||
9522.2.a.br.1.5 | 5 | 69.38 | even | 22 | |||
9522.2.a.bs.1.1 | 5 | 69.8 | odd | 22 |